Question

Which rules of exponents will be used to evaluate the expression. Check all that apply.
Left-brace (7 Superscript 5 Baseline) (7 cubed) right-brace Superscript negative 4
quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent

Answer 1

Answer:

product of powers

power of a power

negative exponent

Step-by-step explanation:

Answer 2

Exponents of a number shows that how many times the number should be multiplied by itself. To evaluate the given expression the rules of exponents used are product of powers, negative exponents and power of a power.

What is exponents?

Exponents of a number shows that how many times the number should be multiplied by itself Exponents are used to show repeated multiplication of a number by itself.

Given

The given expression ,

$(7^5)(7^3)^{-4}$

All the correct option is,

• Product of powers-According to the product of power you have two power with equal base , you should add the exponents.

         $(7^5)(7^3)^{-4}=(7^8)^{-4}$

• Negative exponents-Negative exponents indicates that the expression is in the denominator. Thus,

        $=\dfrac{1}{(7^8)^{4}}$

• Power of a power-According to the power of a power rule , you can multiply the exponents.

       $=\dfrac{1}{7^{32}}$

Thus, to evaluate the given expression the rules of exponents used are product of powers, negative exponents and power of a power.

For more about the exponents follow the link given below-

https://brainly.com/question/5497425