Powers - Maths

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What does it mean when a number is raised to an exponent?

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It indicates how many times the base number is multiplied by itself.

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What is the value of 2^7?

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128.

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17 Terms

1
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What does it mean when a number is raised to an exponent?

It indicates how many times the base number is multiplied by itself.

2
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What is the value of 2^7?

128.

3
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How do the powers of ten relate to zeros?

The power indicates the number of zeros following the base number.

4
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What is 10^2?

100, which represents two zeros after the base number 1.

5
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What is the property of any number raised to the power of 1?

It is just itself.

6
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What is the result of 1 raised to any power?

1.

7
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What is the rule for any non-zero number raised to the power of 0?

It equals 1.

8
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How do you simplify when multiplying powers?

You add the exponents.

9
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How do you simplify when dividing powers?

You subtract the exponents.

10
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What is the result of (3^2)^3?

3^6 = 729.

11
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How do you handle powers with fractions?

Apply the power to both the numerator and the denominator.

12
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If a = 5^9 and b = 5^4 × 5^2, what is a/b?

125, because a/b simplifies to 5^3.

13
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What does a negative exponent indicate?

The base is in the denominator, e.g. 5^{-n} = 1/5^{n}.

14
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How can 10,000 be expressed as a power of ten?

10^4.

15
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What do you get when you simplify 4^2 x 4^3?

4^5.

16
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What is the value of 6^3 x 6^5 / 6^6 without a calculator?

36.

17
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What is the result of 2^{-4}?

1/16.