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| Math Central | Quandaries & Queries |
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Question from Samiya: i have been struggling with the laws of exponents so I'm having trouble with this question. the |
Hi Samiya,
You have
\[\left(b^2 \times c\right) \times \left(b^5 \times c^4\right)\]
Since multiplication is commutative this can be rewritten
\[b^2 \times b^5 \times c \times c^{4}\]
or
\[b^2 \times b^5 \times c^1 \times c^{4}.\]
Using the Laws of Exponents this is
\[b^{2+5} \times c^{1+4} = b^7 \times c^5 = b^7 c^5\]
I hope this helps,
penny
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