Which expressions are equivalent to 7^-2•7^6 Choose two answers

A.7^2/7^-2

B.7^6/7^-2

C.7^-12

D.(7^2)^2

Explanation:

The expression 7^(-2)*7^6 simplifies to 7^4

We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6

In short, we add the exponents.

In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.

Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4

This is why choice A is one equivalent expression.

Choice D is the other equivalent expression since

(7^2)^2 = 7^(2*2) = 7^4

The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.

Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.

Then go through each answer choice to see which also produce a result of 2401.

interest

Step-by-step explanation:

The term that is used for a fee that is paid for the use of another person's money is called interest.

Interest is based on some percentage on which the lender lends you money. That amount is to be given back in some period of time with some additional money.

This additional money is called interest.