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crimeas [40]
3 years ago
12

Simplify the expressions below a. (y^3)^2y^4 b. (z^-3)^-2z^3

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
When you raise a exponent to an exponent, multiply exponents.
When you multiply powers with the same base add exponents.

<span>a. (y^3)^2y^4 = y^6y^4 = y^10

</span><span>b. (z^-3)^-2z^3 = z^6z^3 = z^9</span>
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Answer:

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Step-by-step explanation:

By applying sine rule in the given triangle RST.

\frac{\text{sin}(\angle R)}{ST}= \frac{\text{sin}(\angle T)}{SR}

\frac{\text{sin}(\angle R)}{r}= \frac{\text{sin}(\angle T)}{t}

\frac{\text{sin}(\angle R)}{210}= \frac{\text{sin}(166)}{550}

sin(∠R) = \frac{210\times \text{sin}(166)}{550}

           = 0.09237

m(∠R) = \text{sin}^{-1}(0.09237)

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