Question

what is 3 power of 5 X 10 power of 5 X 2 power of 5 divided by 5 power of 7 X 6 power of 5? PLS HELP ME I NEED!!

Answer 1

Answer:

tex]\frac{5^{9}}{7^{5}}[/tex]

ninth power of 5 divided by fifth power of 7

Step-by-step explanation:

Let us write it down:

$\frac{5^{3}x5^{10}x5^{2}}{7^{5}x5^{6}}$

When multiplying and base is same, the indices add.

So, we get,

$\frac{5^{3+10+2}}{7^{5}x5^{6}}$

$\frac{5^{15}}{7^{5}x5^{6}}$

When dividing and base is same, the indices are subtracted.

$\frac{5^{15-6}}{7^{5}}$

$\frac{5^{9}}{7^{5}}$