Question

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

Answer 1

Answer:

B) 1

Step-by-step explanation:

Given:

$8^{-3}\times 8^{-2}\times8^5$

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.

$x^a\times x^b = x^{a+b}$

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.