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ASHA 777 [7]
3 years ago
10

Evaluate the given expression.

Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0
I believe the answer is B
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Which applies the power of a product rule to simplify (5 t) cubed?
Elena L [17]

Answer:

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer

Step-by-step explanation:

Let us revise some rules of exponents

a^{m} × a^{n} = a^{m+n}  

a^{m} ×÷ a^{n} = a^{m-n}

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

(a.b)^{m} = a^{m} .  b^{m}

To simplify (5t)^{3}

∵ 5t means 5 × t

∵ Both of them are cubed

- Use the 4th rule above

∴ (5t)^{3} = (5)^{3}.(t)^{3}

∵ (5)³ = 5 × 5 × 5 = 125

∴ (5t)^{3} = (5)^{3}.(t)^{3} = 125 t³

(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed

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x = 3 should be the answer

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