Answer:
-Product of powers.
-Power of powers.
-Negative exponent.
-Power of a product.
Step-by-step explanation:
1. According to the product of powers, when you have two powers with equal base you must sum the exponents. Then you have:
[tex][(7^{5})(7^{3})]^{-4}=[7^{8}]^{-4}[/tex]
2. The negative exponents indicates that 7⁸ is in the denominator. Based on this, you have:
[tex]\frac{1}{(7^{8})^{4}}[/tex]
3. Based on the power of powers, you can multiply the exponents. Then:
[tex]\frac{1}{7^{32}}[/tex]
You can also apply the power of a product:
[tex][(7^{(5)(-4)})(7^{(3)(-4)})]=[7^{-20}*7^{-12}][/tex]
And then apply the step 2.
