QuestionWhich expression equals $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ ? Options: $\frac{(1.5)^{15}}{(0.7)^{12}}$ , $\frac{(1.5)^{8}}{(0.7)^{7}}$ , $2.1^{3}$ , $2.1^{15}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{3}$ . . We need to find an equivalent expression from the given options.
3. We will use the laws of exponents to simplify the expression.

STEP 2

We have the expression $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{}$ . According to the law of exponents, when we raise a power to a power, we multiply the exponents. $\left(\frac{(1.5)^{5}}{(0.7)^{4}}\right)^{} = \frac{(1.5)^{5 \times}}{(0.7)^{4 \times}}$

STEP 3

Now, calculate the new exponents by multiplying.
$\frac{(1.5)^{5 \times3}}{(0.7)^{ \times3}} = \frac{(1.5)^{15}}{(0.7)^{12}}$ So, the expression $\left(\frac{(1.5)^{5}}{(0.7)^{}}\right)^{3}$ is equivalent to $\frac{(1.5)^{15}}{(0.7)^{12}}$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms