Question

What is equavlent to 5 to the 4 power times 5 to the negative 6power

Answer 1

1/25 or 5^-2

Step-by-step explanation:

Given the expression

5^4 * 5^-6

Using the law of indices

a^m * a^n = a^{m+n}

5^4 * 5^-6

= 5^{4+(-6})

= 5^{4-6}

= 5^-2

= 1/5^2

= 1/25

Hence the equivalent answer is 1/25 or 5^-2