Let’s solve each problem step by step. Remember: a negative exponent means “take the reciprocal of the base raised to the positive exponent.” Also, zero raised to any positive power is still zero.
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1a. 7⁻¹
This means 1 divided by 7¹ → 1/7
1b. 10⁻⁹
This means 1 divided by 10⁹ → 1 / 1,000,000,000 (or 0.000000001)
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2a. 0¹³
Zero multiplied by itself any number of times (as long as it’s not zero to the zero) is still zero → 0
2b. 6⁻²
This means 1 divided by 6² → 1 / 36
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3a. 9⁻²
This means 1 divided by 9² → 1 / 81
3b. 4⁻²
This means 1 divided by 4² → 1 / 16
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4a. 8⁻²
This means 1 divided by 8² → 1 / 64
4b. 10⁻²
This means 1 divided by 10² → 1 / 100 (or 0.01)
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5a. 2⁻¹
This means 1 divided by 2¹ → 1/2
5b. 8⁻¹
This means 1 divided by 8¹ → 1/8
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6a. 0⁷⁸
Again, zero to any positive power is zero → 0
6b. 10⁻³
This means 1 divided by 10³ → 1 / 1000 (or 0.001)
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7a. 5⁻¹
This means 1 divided by 5¹ → 1/5
7b. 9⁻¹
This means 1 divided by 9¹ → 1/9
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Final Answer:
1a. 1/7
1b. 1/1000000000
2a. 0
2b. 1/36
3a. 1/81
3b. 1/16
4a. 1/64
4b. 1/100
5a. 1/2
5b. 1/8
6a. 0
6b. 1/1000
7a. 1/5
7b. 1/9
Parent Tip: Review the logic above to help your child master the concept of exponent math worksheet.
