Simplify using Exponent Rules: 7^4×7×7^13×7^−20

Question

(1 point)

Answer 1

Using the exponent rules, we know that when multiplying variables with the same base, we add the exponents.

Applying this rule, we can simplify the expression as follows:

7^4 × 7 × 7^13 × 7^(-20)

= 7^(4 + 1 + 13 + (-20))

= 7^(-2)

Therefore, the simplified expression is 7^(-2).

Answer 2

Simplify using Exponent Rules: 7^4×7×7^13×7^−20
(1 point)

28^−2
28 to the negative 2 power

1/7^2
the fraction with numerator 1 and denominator 7 squared

1/7^3
the fraction with numerator 1 and denominator 7 cubed

1/7^−2

Answer 3

To simplify the expression 7^4 × 7 × 7^13 × 7^(-20), we add the exponents when multiplying variables with the same base.

Therefore,

7^4 × 7 × 7^13 × 7^(-20) = 7^(4 + 1 + 13 + (-20))

Simplifying inside the parentheses, we have:

7^(4 + 1 + 13 + (-20)) = 7^(-2)

So, the simplified expression is 7^(-2).

Note: The answer choices provided do not match the given expression.

Answer 4

Fully simplify using Exponent Rules:(5^8/5^6)^2
(1 point)

A. 1^4
B. 5^2
C. 25^4
D. 5^4

Answer 5

To simplify (5^8/5^6)^2 using exponent rules, we can first simplify the expression inside the parentheses by subtracting the exponents:

(5^8/5^6)^2 = 5^(8-6)^2

Simplifying inside the parentheses:

= 5^2^2

Then, using the exponent rule for raising a power to another power, we multiply the exponents:

= 5^(2*2)

= 5^4

Therefore, the fully simplified expression is 5^4. The answer is D. 5^4.