Question

If the expression 4*10
was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?

Answer 1

Which of the following is equivalent to 6^−2
?

Answer 2

The Power Rule of Exponents states that a^m * a^n = a^(m+n).

In this case, we have 4*10, which can be rewritten as 4^1 * 10^1.

Using the Power Rule of Exponents, we can combine the exponents to get 4^(1+1) * 10^(1+1).

Simplifying further, we have 4^2 * 10^2.

Therefore, the equivalent expanded expression is 16 * 100.

Answer 3

To simplify 6^-2, we use the rule that says a^(-n) is equal to 1 / a^n.

Therefore, we have 6^(-2) = 1 / 6^2.

Simplifying further, we have 1 / (6 * 6).

Which is equivalent to 1 / 36.

Therefore, 6^(-2) is equivalent to 1 / 36.