Question

Select the answer choice that equals the given expression. 8^-3 x 8^-2 x ^5

A) 8^30
B) 1
C) 80
D) 24

Answer 1

B) 1

Explanation:

Given:

`8^(-3)* 8^(-2)*8^5`

We need to solve the given expression.

Now We know that when base of the exponents then the law of indices applied for the same.

Now According to Law of Indices.

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

On Solving the above expression we get;

`8^(-3+(-2)+5)\\\\8^(-3-2+5)\\\\8^(-5+5)\\\\8^0\\\\\textrm{Now Again by law of indices;}\\\\a^0 =1\\\\Hence\ 8^0 = 1`

Hence The Simplified form of given expression is 1.