# Mathematics Exponents Unit 1 Exam

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This test is worth 20 points. Pay attention to how exponents are written. X to the fifth power is written like x^5Fractions will be written like 1/2, meaning one-half

• 1.

### Express using exponents

• A.

-5^3

• B.

-15

• C.

-1/125

• D.

5^-3

A. -5^3
Explanation
The given expression is -5^3. In this expression, the negative sign applies only to the base, which is 5. The exponent, 3, indicates that 5 is multiplied by itself three times. Therefore, -5^3 is equal to -5 * 5 * 5, which is -125.

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• 2.

### Express using exponents.

• A.

X^4 * y^2

• B.

4x2y

• C.

Xxxxyyy

• D.

Xy^2

A. X^4 * y^2
Explanation
The given expression x^4 * y^2 represents the product of x raised to the power of 4 and y raised to the power of 2. This can be simplified as x^4 * y^2.

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• 3.
• A.

X^7

• B.

X^12

• C.

7x

• D.

X^1

A. X^7
• 4.
• A.

30g^5

• B.

11g^5

• C.

30g^6

• D.

11g^6

A. 30g^5
• 5.
• A.

3^6

• B.

3^4

• C.

3^10

• D.

3

A. 3^6
• 6.
• A.

3a^6

• B.

4a^6

• C.

4a^8

• D.

3a^7

A. 3a^6
• 7.
• A.

X^8

• B.

X^6

• C.

X^2

• D.

X^24

A. X^8
• 8.
• A.

8c^6

• B.

6c^6

• C.

2c^6

• D.

2c^5

A. 8c^6
• 9.

### What number is equivalent to?

• A.

1/16

• B.

-1/16

• C.

16

• D.

-16

A. 1/16
Explanation
The given correct answer is 1/16 because it is the only option that matches the given number 1/16. The other options (-1/16, 16, -16) do not have the same value as 1/16.

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• 10.
• A.

1/36

• B.

-1/36

• C.

36

• D.

-36

A. 1/36
• 11.

### Convert  to standard form.

2700000
2,700,000
Explanation
The given number, 2700000, can be written in standard form as 2,700,000. Standard form is a way of writing numbers using digits and place value. In this case, the number is written with commas separating groups of three digits to make it easier to read and understand.

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• 12.

0.0038
.0038
Explanation
The answer is 0.0038 because it is a decimal representation of the given numbers 0.0038 and .0038. These numbers are the same, just written in different formats.

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• 13.

### Write 74,000 in scientific notation

• A.

7.4 x 10^4

• B.

74 x 10^3

• C.

.74 x 10^5

• D.

7.4 x 10^5

A. 7.4 x 10^4
Explanation
The scientific notation is a way to express very large or very small numbers in a concise form. In this case, the number 74,000 can be written as 7.4 multiplied by 10 raised to the power of 4. This means that we move the decimal point 4 places to the right to get the original number. Therefore, the correct answer is 7.4 x 10^4.

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• 14.

### Write 0.000009 in scientific notation.

• A.

9 x 10^-6

• B.

9 x 10^6

• C.

0.9 x 10^5

• D.

0.9 x 10^-5

A. 9 x 10^-6
Explanation
The given number, 0.000009, can be expressed in scientific notation as 9 x 10^-6. In scientific notation, the number is written as a decimal between 1 and 10, multiplied by a power of 10. In this case, the decimal is 9, and it is multiplied by 10 raised to the power of -6, indicating that the decimal point should be moved 6 places to the left to obtain the original number.

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• 15.
• A.

1.48 x 10^9

• B.

14.8 x 10^9

• C.

14.8 x 10^8

• D.

1.48 x 10^7

A. 1.48 x 10^9
• 16.
• A.

7 x 10^3

• B.

.7 x 10^4

• C.

7 x 10^4

• D.

.7 x 10^10

A. 7 x 10^3
• 17.
6
-6
• 18.
10
-10
• 19.

### is greater than 5.

• A.

True

• B.

False

A. True
Explanation
The given answer is true because the statement "is greater than 5" implies that the value being referred to is larger than 5. Since there is no specific value mentioned in the question, we can assume that any value greater than 5 would make the statement true.

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• 20.
• A.

7.16 x 10^5

• B.

71.6 x 10^4

• C.

71.6 x 10^5

• D.

10.58 x 10^9

A. 7.16 x 10^5

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• Mar 19, 2023
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• Oct 13, 2014
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