76 957
Assignments Done
98,7%
Successfully Done
In June 2019

Answer to Question #21517 in Algebra for Abby

Question #21517
How do you multiply exponents?
Expert's answer
You can multiply many exponential expressions together without having to change their form into the big or small numbers they represent. When multiplying exponents, the only requirement is that the bases of the exponential expressions have to be the same. So, you can multiply

2^4·2^6, a^6·a^8,

but you can't multiply

3^5·4^5

because the bases are not the same (although the exponents are).

To multiply powers of the same base, add the exponents together:

x^a·x^b = x^(a+b).

So,

2^4·2^9 = 2^(4+9) = 2^13.

If there’s more than one base in an expression with powers, you can combine the numbers with the same bases, find the values, and then write them all together. For example,

3^2·2^2·3^3·2^4 = 3(2+3)·2^(2+4) = 3^5·2^6.

Here's an example with a number that has no exponent showing:

4x^6y^5x^4y^1 = 4x^(6+4)y^(5+1) = 4x^10y^6.

When there’s no exponent showing, such as with y, you assume that the exponent is 1, so in the above example, you write y^1.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions