Question

using law of exponents, determine X, such that 1000=2's power is X and and multiply by 5's power is X

Answer 1

Here we can say that,

1000=2*2*2*5*5*5
So, 1000=(2'power is 3 )multiply (5's power is 3)

therefore we can say that
2^3*5^3=2^X*5^X

therefore X=3O

Answer 2

Answer:

x=3

Step-by-step explanation:

1000=2*2*2*5*5*5

So, 1000= 2^3*5^3

Therefore,

2^3*5^3=2^x*5^x

A.T.P-

= 3*3=x*x

= 9=x^2

= x= 3