2 years ago

Which equation are true A. 3^4)(3^5)=3^9 B.8^6=1\-6 C

Mathematics

1 answer:

seraphim [82]2 years ago

6 0

The equation that is true is A

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Step-by-step explanation:

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3 years ago

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3 years ago

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.

Nookie1986 [14]

Answer:

$(2\cdot 6)^{\frac{3}{2}}=24(3)^{\frac{1}{2}}$

Step-by-step explanation:

The given expression is $(2*6)^{\frac{3}{2}}$

We multiply within the parenthesis to get:

$(12)^{\frac{3}{2}}$

Recall that: $a^{\frac{m}{n} } =\sqrt[n]{x^m}$

We apply this property to get:

$(12)^{\frac{3}{2}}=\sqrt{12^3}$

$(12)^{\frac{3}{2}}=\sqrt{12^2*12}$

This simplifies to

$(12)^{\frac{3}{2}}=12\sqrt{12}$

We can simplify further

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We rewrite as rational exponent $24(3)^{\frac{1}{2}}$

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3 years ago