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:

$\times^{-1}=\frac{1}{x}$$7^{-2}=\text{ }\frac{1}{7^2}$

Answer 7⁻²= 1/7²