Test Your Understanding Of Exponents Quiz!
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The exponents of exponential expressions with different bases can be added together.
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True
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False
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In mathematics, use of exponents can be tricky to understand especially because they are written differently. It appears with a base number and it is See morea superscript. Test your understanding of exponents below. All the best!
- 2.
X 4 x 3 will result in an exponent of
Explanation
The expression x^4 x 3 is equivalent to x^(4+3), which simplifies to x^7. In other words, when you multiply x to the power of 4 by 3, you are effectively multiplying x by itself 4 times and then multiplying the result by x two more times. This results in x being multiplied by itself a total of 7 times, giving us x^7.Rate this question:
- 3.
There is no fundemental mathematical truth for what 0 0 is equal to
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True
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False
Correct Answer
A. TrueExplanation
The statement is true because in mathematics, division by zero is undefined. When dividing any number by zero, there is no meaningful result or value that can be assigned. Therefore, there is no fundamental mathematical truth for what 0 divided by 0 is equal to.Rate this question:
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- 4.
Any base raised to this power will equal one
Correct Answer
0
zeroExplanation
Any number raised to the power of zero equals one. Therefore, any base raised to the power of zero will also equal one.Rate this question:
- 5.
The result of simplifying the expression (x 3 y 4 ) 3 is
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X^9 y^12
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(xy)^10
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Y
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(xy)^21
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X^6 y^7
Correct Answer
A. X^9 y^12Explanation
Multiply the power of x by 3 from the outside of the expression to get x^9. Multiply the power of y by 3 from the outside to get y^12Rate this question:
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- 6.
If a number has no power written then the power is assumed to be
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0
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-1
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1
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None, it simply has no power
Correct Answer
A. 1Explanation
All numbers without a power have an exponent of 1. Example 5 is the same as 5^1Rate this question:
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- 7.
All bases have an exponent
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True
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False
Correct Answer
A. TrueExplanation
When a base has no exponent written it is assumed to be 1, thus all bases have an exponent even if none is written.Rate this question:
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- 8.
[(x 4 y 5) -3 - (x 5) -3/2] 0
Correct Answer
one
1Explanation
The given expression is [(x^4 * y^5) - 3 - (x^5) - (3/2)] * 0. When any number is multiplied by 0, the result is always 0. Therefore, no matter what the values of x and y are, the entire expression will evaluate to 0. Hence, the answer is 0.Rate this question:
- 9.
"Cross the line Change the sign" refers to simplifying what type of exponential expressions
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Power of a Power
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Product of Powers
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Quotient of Powers
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Negative exponents
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Zero Property
Correct Answer
A. Negative exponentsExplanation
"Cross the line Change the sign" refers to simplifying negative exponents. When we have a negative exponent, we can rewrite it as the reciprocal of the base raised to the positive exponent. For example, if we have 2^-3, we can rewrite it as 1/(2^3). This rule allows us to convert negative exponents into positive exponents, which makes calculations and simplifications easier.Rate this question:
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- 10.
Write an explination of why bases raised to the zero power are equal to 1
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Current Version
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Sep 06, 2024Quiz Edited by
ProProfs Editorial Team -
Sep 16, 2010Quiz Created by
Jcan117
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