Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

help maths

the question is

what is (4^2)^3 * 3^12 written in the form 6 to the power of n. I got 6 to the power of 11 because when divide by lets say 12^12/2 it will be 6^11 because u minus the powers right?.

OP

how is this the same as dividing

Study Forum Helper

Original post by enterbot1

the question is

what is (4^2)^3 * 3^12 written in the form 6 to the power of n. I got 6 to the power of 11 because when divide by lets say 12^12/2 it will be 6^11 because u minus the powers right?.

Misread your original expression there, ignore my last post if you saw it :smile:

:smile:

Your answer is not quite correct.

Notice that the number is the same as

4^{6} \cdot 3^{12} = (4^{\frac{1}{2}})^{12} \cdot 3^{12}

and then

4^{1/2}

can be simplified.

Your reasoning makes no sense though on division by 2.

OP

I got up to 12^12 But the questions asks to write it in the form of 6^n so I decided to divide by 2^1 which is 6^11

Study Forum Helper

Original post by enterbot1

I got up to 12^12 But the questions asks to write it in the form of 6^n so I decided to divide by 2^1 which is 6^11

That's incorrect.

Can you tell me what you simplified

4^{1/2}

to?

[P.S. You cannot subtract from the power when you're not dividing by the same base]

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