Please Simplify
( 3x^5 y^-8)^4 )
(------------- )
( z^-2 )
I would eliminate the exponent (4) and move Z^-2 to the numerator and y^-8^4 to the denominator.
81X^20*Z^2/y^32
How long will it take to earn $525 in interest if $3500 is invested at a 6% annual interest rate?
To simplify the given expression, let's break it down step by step.
Step 1: Begin by applying the power rule for exponents. Raise both the coefficient and variables inside the parentheses to the exponent outside of the parentheses.
(3^4) * (x^5)^4 * (y^-8)^4
Simplifying further, we have:
81 * x^20 * y^-32
Step 2: Simplify the exponents separately for each variable.
For x, we multiply the exponents:
81 * x^(5*4) * y^-32
= 81 * x^20 * y^-32
For y, multiply the exponents:
81 * x^20 * y^(-8*4)
= 81 * x^20 * y^-32
Step 3: Recall that y^-n is equivalent to 1/y^n.
Substitute y^-32 with 1/y^32:
81 * x^20 * (1/y^32)
Step 4: Combine the terms together and simplify further if possible.
The final simplified expression is:
81x^20/y^32
So, the simplified version of the given expression is 81x^20/y^32.