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klemol [59]
3 years ago
14

Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Super

script negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the expression (4z^8)^{-3}, to evaluate this, we will use one of the law of indices as shown;

(a^m)^n = a^{mn}

4^{-3} * z^{8*-3}

= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\  \\= \frac{1}{64z^{24}}

Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8

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