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Mathematics

1 answer:

svet-max [94.6K]3 years ago

3 0

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

3√64 3√a^6 3√b^7 3√c^9

Calculate

4 3√a^6 3√b^7 3√c^9

Use this rule: (x^a)^b = x^ab

4a^6/3 3√b^7 3√c^9

Simplify 6/3 to 2

4a^2 3√b^7 3√c^9

Use this rule: (x^a)^b = x^ab

4a^2b^7/3 3√c^9

Use this rule: (x^a) = x^ab

4a^2b^7/3 c^9/3

Simplify 9/3 to 3

<h2><u>Answer: B. 4a^2b^2c^3(3√b)</u></h2>

<u><em>Question Number 2.</em></u>

Use this rule: √ab = √a√b√120√x

Simplify √120 to 2√30

2√30√x

Simplify

<h2><u>Answer: A. 2√30x</u></h2>

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A) work out (8 x 10^-3) x (2 x 10^-4). Give your answer in standard form.

mafiozo [28]

Step-by-step explanation:

$A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\$