# Algebra

can you show me the steps for this problem (2x)to the 4th power (3xcubed)squared

I'd like to help you, but I'm not sure what this problem is supposed to be. You can use the symbol ^ when using exponents. For example, 2x to the 4th power can be typed 2x^4. Perhaps you can repost with a clearer example.

i'm going to write the problem a little differently for simplicity. the carrots show "to the power of..." the parenthesis means multiply

((2x)^4)(3x^3)^2

first you are going to mulitply the exponents for the term (3x^3)^2:

3x^6

so now you have ((2x)^4)(3x^6)

now you combine everything. add the exponents together:

(3)2x^10

and multiply the 3 and 2:

6x^10

Get it?

If your problem is as Marie has stated, then you can proceed as follows:

(2x)^4 * (3x^3)^2 -->I'll use * to mean multiply.

(2x)^4 = 16x^4 -->take 2^4 and x^4, since there are parentheses around 2x.
(3x^3)^2 = 9x^6 -->square the 3 and x^3.

Multiplying the two together:
16x^4 * 9x^6 = 144x^10

I hope this is what you were asking.

oh! sorry! i forgot to distribute the exponent to the numbers, i just distributed to the variablees. MathGuru is correct. Agian, sorry. Thanks MathGuru for catching my mistake!!!

1. 👍 0
2. 👎 0
3. 👁 130

## Similar Questions

1. ### algebra 2

I am so stuck on this factoring thing. how do you solve: 1)15a(squared)b-10ab(squared) 2)x(squared)-8x-8 3) 6p(squared)-17p-45 4)2r(cubed)+250 5)x(to the 6th power)-64 6)x(squared)-xy+2x-2y 7)x(to 4th power)-1

asked by Cass on February 14, 2011
2. ### Math help

asked by Anonymous on February 17, 2014
3. ### Math

Hey, I just need my answer checked. Simplify: y to the 4th power times y to the 3rd power y to the 1st power y to the 7th power ** y to the 12th power y to the 43rd power correct? If not, please show work for me. thanks.

asked by IAmNotARobotTrustMe1 on September 6, 2017
4. ### Algebra

Evaluate the expression x to the 4th power-2x to the 3rd power+5x squared+10x+12 for value of x=2 52

asked by Need Help on June 3, 2007
5. ### Math

2(3c to the 2nd power+ c +-2 Please check 6c to the 4th power+c squared + -4

asked by Tanya on May 8, 2016
6. ### math

Simplify 4 to the 7th over 5 squared all raised to the 3rd power. 4 to the 10th over 5 to the 5th 4 to the 4th over 5 4 to the 21st over 5 to the 6th 12 to the 7th over 15 squared

asked by davis on August 24, 2017
7. ### Math

9a to the 4th power squared

asked by Joe on July 26, 2017

Use identities to find the exact value of the trigonometric expression below. 1/cos2 * π/16 - 1/cot2 * π/16 PS: in words, the problem is, one divided by cosine-squared, then beside the cosine-square (still in the denominator) is

asked by chizoba on July 25, 2016
9. ### Algebra II

The problem states: Saturn is approximately 1.4x 10 to the 9th power kilometers from the Sun. If light travels at approx. 3.0 x 10 to the 5th power kilometers per second, how long does it take light from the Sun to reach Saturn?

asked by Lucy on February 3, 2008
10. ### Math

Need to simplify (6b to the 2 power)to the 2nd power (6b to the 4th power)to the 4th power equals 24b to the 4th power Not sure if I did this right trying to understand how to simplify. Please help, please.

asked by Zenia on September 14, 2016

More Similar Questions