Question

Simplify (10^-2)^4 djjdejieoeiieis

Answer 1

10^-8

Explanation:

Answer 2

Simplifying
`\((10^(-2))^4\)` yields
`\(10^(-8)\)`, obtained by multiplying the exponents. This represents a decimal fraction with eight zeros after the decimal point, showcasing the impact of the successive exponentiation. (option A)

To simplify
`\((10^(-2))^4\)`, apply the power of a power rule, which involves multiplying the exponents. In this case, raise the base (10) to the power of the product of the two exponents:
`\(10^(-2)\)` raised to the power of 4 results in
`\(10^(-8)\)`.

This simplification follows the principle that when a power is raised to another power, the exponents are multiplied. Therefore,
`\((10^(-2))^4\)` is equivalent to
`\(10^(-8)\)`, signifying a decimal fraction with eight zeros after the decimal point.

So option A is correct.