Question

evaluate exponential expression..

5^3 x 5^5

Answer 1

When multiplying exponential expressions, you add the exponents

\[\Large 5^3 \times 5^5 = 5^{3+5}\]

Answer 2

2^-3 x 2 ?

Answer 3

2 = 2^1

Add the exponents and use the idea that \[\Large x^{-k} = \frac{1}{x^k}\] where k is some positive number

Answer 4

Ex: \[\Large 5^{-3} = \frac{1}{5^3}\]

Answer 5

so 1/2^3 x 2^1 ..now how do you solve?

Answer 6

rewrite 2^1 as (2^1)/1 and then multiply straight across

so 1*2^1 = 2

and 2^3 * 1 = 2^3 or 8

So you get 2/8 which reduces to 1/4

Answer 7

so would 7^6 x 7^7 = 1/7?

Answer 8

No, add the exponents

Answer 9

what do you get