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Mathematics
18.08.2020 10:21
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Anyone know what the answer is???(sorry if it’s unclear)

Anyone know what the answer is???(sorry if it’s unclear)
Anyone know what the answer is???(sorry if it’s unclear)
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salihanegawo
salihanegawo
4,6(22 marks)

The laws of exponents I will be using are:

(x^y)^z = x^{yz}, and x^y \cdot x^z = x^{y+z}.

For the first part, (15^3)^3 \cdot 15^{-6} = 15^9 \cdot 15^{-6} = 15^3.

For the second part, 15 \cdot (15^3)^2 \cdot (15^{-5})^2 = 15 \cdot (15^6) \cdot (15^{-10}) = 15^{1+6-10} = 15^{-3} = \frac{1}{15^3}.

psychocatgirl1
psychocatgirl1
4,6(98 marks)

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