To fully simplify the expression, we can start by simplifying the numerator and denominator separately, then rewrite the expression without negative exponents, and finally simplify any remaining exponents.
Starting with the numerator:
(z^-7 * z^4)^2 = z^-14 * z^8
Using the property of exponents that says z^a * z^b = z^(a+b), we can rewrite this as:
z^-14 * z^8 = z^(-14 + 8) = z^-6
moving to the denominator:
(z^3 * z^3)^3 = z^6 * z^6 = z^(6 + 6) = z^12
So, the fully simplified expression is:
(z^-7 * z^4)^2 / (z^3 * z^3)^3 = z^-6 / z^12 = z^(-6 - 12) = z^-18
Fully simplify
(z^-7\cdotz^4)^2/z^3\cdotz^3)^3
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1 answer