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Write (10^2)^-3 as a power of 10 with a single exponent

2 Answers

6 votes

Answer:

10^-6 as a power of 10 with a single exponent.

Explanation:

To write (10^2)^-3 as a power of 10 with a single exponent, we can simplify the expression by using the rule that states that when we raise a power to another power, we multiply the exponents.

Therefore:

(10^2)^-3 = 10^(2*-3) = 10^(-6)

Therefore, (10^2)^-3 is equivalent to 10^-6 as a power of 10 with a single exponent.

answered
User Latasha
by
8.0k points
3 votes

To write (10^2)^-3 as a power of 10 with a single exponent, we can use the property of exponents that states that when we raise a power to another power, we multiply the exponents. So:

(10^2)^-3 = 10^(2*-3) = 10^(-6)

Therefore, (10^2)^-3 can be written as 10^-6 with a single exponent of -6.

answered
User Sonicbabbler
by
7.6k points

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