Question

Describe how to transform (6 squared X^5)^7

Answer 1

`6^(14)x^(35)`

Step-by-step explanation:

(6²x^5)^7

We need to apply two rules of exponents.

1. To raise a product to an exponent, raise each factor of the product to the exponent.

`(ab)^n = a^nb^n`

2. To raise an exponent to an exponent, multiply the exponents.

`(a^m)^n = a^(mn)`

Let's start with our problem:

`(6^2x^5)^7 =`

Apply the first rule: raise each factor to the exponent 7.

`= (6^2)^7(x^5)^7`

Apply the second rule: raise each exponent to the exponent 7 by multiplying exponents.

`= 6^(14)x^(35)`

Answer:
`6^(14)x^(35)`

Answer 2

To transform (6 squared * X^5)^7, square the digit term 6 to get 36 and multiply the exponent of X^5 by 2 to get X^10. Then raise 36 and X^10 to the power of 7 to get the final answer, 36^7 * X^70.

Step-by-step explanation:

To transform (6 squared * X^5)^7, we need to apply the rule of exponents. Squaring the digit term, 6, gives us 6^2 = 36. Multiplying the exponent of X by 2 gives us (X^5)^2 = X^10. Now we can simplify the expression by raising 36 and X^10 to the power of 7, resulting in 36^7 * X^70.

Learn more about Exponents and Text Transformation