Exponent Rules Quiz questions set 2

1) X*x³=x^1.5*x^1.5

True

False

The equation x*x3 = x1.5*x1.5 is not true. When we multiply x by x3, we get x^4. When we multiply x1.5 by x1.5, we get 2.25x^2. These two expressions are not equal, so the statement is false.

Explanation

The equation x*x3 = x1.5*x1.5 is not true. When we multiply x by x3, we get x^4. When we multiply x1.5 by x1.5, we get 2.25x^2. These two expressions are not equal, so the statement is false.

2) What is the value of 2^5m2^3?

2^15

2^8

2^2

2^7

When multiplying two powers with the same base, the exponents are added together. So, 2^5×2^3=2^5+3 = 2^8.

Explanation

When multiplying two powers with the same base, the exponents are added together. So, 2^5×2^3=2^5+3 = 2^8.

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4) X⁸+x³=x¹¹

True

False

The given equation is x8+x3=x11. This equation is not mathematically correct as it combines the variables with numbers in a non-standard way. In a typical mathematical equation, the variables and numbers are separated by mathematical operations such as addition, subtraction, multiplication, or division. In this case, the equation is not properly formed, hence the answer is False.

Explanation

The given equation is x8+x3=x11. This equation is not mathematically correct as it combines the variables with numbers in a non-standard way. In a typical mathematical equation, the variables and numbers are separated by mathematical operations such as addition, subtraction, multiplication, or division. In this case, the equation is not properly formed, hence the answer is False.

5) You can simplify this expression (3²*3⁶)⁵ by using the ? properties.

When simplifying the expression (32*36)5, we can use the properties of powers. The expression can be rewritten as (32^5)*(36^5). According to the power of a power property, we can multiply the exponents, resulting in 32^(5*5)*36^(5*5). Using the product of powers property, we can simplify this further to 32^25*36^25. Therefore, the correct answer is Power of a power, Product of powers.

Explanation

When simplifying the expression (32*36)5, we can use the properties of powers. The expression can be rewritten as (32^5)*(36^5). According to the power of a power property, we can multiply the exponents, resulting in 32^(5*5)*36^(5*5). Using the product of powers property, we can simplify this further to 32^25*36^25. Therefore, the correct answer is Power of a power, Product of powers.

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6) 4³*3⁴=x

4^7

7^4

12^7

Impossible to simplify

12^12

7^12

7^7

The expression 43*34 cannot be simplified further because it involves the multiplication of two numbers. The answer to this expression is a specific value, which cannot be simplified into a simpler form. Therefore, the correct answer is "impossible to simplify".

Explanation

The expression 43*34 cannot be simplified further because it involves the multiplication of two numbers. The answer to this expression is a specific value, which cannot be simplified into a simpler form. Therefore, the correct answer is "impossible to simplify".

Exponent Rules Quiz Questions Set 2