Question

Select all the expressions that are equivalent to 78.7. 73.73 718 79 (73)3 74 + 75 74.75

Answer 1

We have the expression:

`7^8\cdot7`

In order for other expression being the same, the total value of the exponent should be 9 and the base 7. That's why the following are the equivalent expressions:

`(7^(18))/(7^9)`
`(7^3)^3`

`7^4\cdot7^5`

These, when operated give as result the original expression 7^9.

*The first one, since we will have the same base and sustrac the exponent of the number dividing from the exponent of the number divided.

*The second one, since we have the same base and multiply the exponents.

*The third one, since we have the same base and add the exponents.