(8x)^6/(8x)^10 how do I simplify this? I got the answer 1/4096x^4 but i'm unsure if it is correct.
(8x)^6/(8x)^10
= 1/(8x)^2
= 1/(64x^2)
(8x)^6/(8x)^10 = 1/(8x)^4 = 1/(4096x^4)
you are correct
(8x)^6/(8x)^10 = (8x)^-4 = 1/(8x)^4 = 1/8^4*x^4 = 1/4096*x^4 = 1/4.096*x^7
To simplify the given expression, you can apply the quotient rule for exponents, which states that when dividing two terms with the same base, you subtract their exponents.
In this case, the base is 8x:
(8x)^6 / (8x)^10
To simplify further, you subtract the exponents inside the parentheses:
8x^(6-10)
Simplifying the exponent:
8x^-4
Now, to write it in a more simplified form, you can move the x^-4 term to the denominator by changing the sign of the exponent:
8 / x^4
Therefore, the simplified form of the expression is 8 / x^4.
It seems that you made a small mistake in your calculation. The correct answer is 8 / x^4.