Question

Which expression is equivalent to (5^3)^-2(5^3)^-4?

a) One third to the 4th times one third to the 7th
b) 3 to the 7th over 3 to the 15th
c) 45
d) 42

Answer 1

To simplify the expression (5^3)^-2(5^3)^-4, add the exponents and convert it to a fraction 1/5^18.

Step-by-step explanation:

To simplify the expression (5^3)^-2(5^3)^-4, we can use the rule that says when multiplying two exponential expressions with the same base, you can add the exponents. So, (5^3)^-2(5^3)^-4 can be simplified as 5^(-6+(-12)).

Adding the exponents, we get 5^(-18). A point's location on the coordinate plane is indicated by an ordered pair An algebraic expression is an expression involving numbers To write this in a more simplified form, we can convert it to a fraction by taking the reciprocal of the base, so the equivalent expression is 1/5^18.

This means that the correct answer is (a) One third to the 4th times one-third to the 7th.