Question

4. Which expression is equivalent to 7-7-5? (4 points)O 72077FIN

Answer 1

The expression is 7³ * 7⁻⁵

To solve this you have to apply the law of exponents

`a^b\cdot a^c=a^((b+c))`

So for the expression it is

`7^3\cdot7^((-5))=7^((3-5))=7^(-2)`

The negative exponent "-2" means that the value is inverted following the law:

`*^(-1)=(1)/(x)`
`7^(-2)=\text{ }(1)/(7^2)`

Answer 7⁻²= 1/7²