Hi im trying to solve

a^8 for homework I really want to know how to solve this.

And my next qeustion was how do I sopve (4y^3)^2

Hi im trying to solve

a^8 for homework I really want to know how to solve this.

And my next qeustion was how do I sopve (4y^3)^2

Tutors, please sign in to answer this question.

Las Vegas, NV

Hi Raymond-

[1] - [a^8] means 'a' raised to the 8th power - which is short-hand for [a*a*a*a*a*a*a*a].

[2] - For your second example there - [4y^3]^2 - from the rules for grouping and exponents & powers -

this is short-hand for: [4*y^3] * [4*y^3] = ??

so if we multiply these terms out - we get: 4^2 * y^6 = 16 * y^6 [ the numbers 4 * 4 will give you 16 and exponents with the same base will ADD [3 + 3 = 6].

ANSW = 16y^6

Hope this info was helpful..

Mike S

Whittier, CA

Hi Thomas,

Check out the exponent rules if you can, i'm not too clear on what the first part of your question is (a)^{8}? You may need to provide some more information on that

But your second question is all about exponential rules. Remember x^{3} is the same as (x*x*x)

so (x^{3})^{2} can be written as (x*x*x)(x*x*x) which is x^{6 }, know that if a function has an exponent on the outside of the parenthesis you can multiply it, to save time, (x^{3})^{2} , 3*2= 6, so x^{6}

Looking at your problem, it can written as (4y^{3})(4y^{3}) which would be equal to
16y^{6}

You should definitely check out exponent rules if you can, to clear up any confusion.

Hope this helps you!

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