simplify the expression below,using the laws of exponents.

(5^4 x 5^7)/ 5^8

Show your work. PLEASE HELP ME!

2 answers

x ^ a * x ^ b = x ^ ( a + b )

5 ^ 4 * 5 ^ 7 = 5 ^ ( 4 + 7 ) = 5 ^ 11

x ^ a / x ^ b = x ^ ( a - b )

5 ^ 11 / 5 ^ 8 = 5 ^ ( 11 - 8 ) = 5 ^ 3

5 ^ 4 * 5 ^ 7 / 5 ^ 8 = 5 ^ 3 = 125
x5.x8