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Solnce55 [7]
3 years ago
8

Select the simplification that accurately explains the following statement.

Mathematics
2 answers:
Vesna [10]3 years ago
7 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

\sqrt[3]{7}=7^{\frac{1}{3}}

Take cube both sides.

(\sqrt[3]{7})^3=(7^{\frac{1}{3}})^3

Using exponent property: a^3=a\times a\times a

(7^{\frac{1}{3}})^3=7^{\frac{1}{3}}\times 7^{\frac{1}{3}}\times 7^{\frac{1}{3}}

Using exponent property: a^ma^n=a^{m+n}

(7^{\frac{1}{3}})^3=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}

(7^{\frac{1}{3}})^3=7^{\frac{3}{3}}

(7^{\frac{1}{3}})^3=7^1

(7^{\frac{1}{3}})^3=7

Therefore option D is correct.

hjlf3 years ago
5 0

The correct answer is A because when you solve everything in this equation, it comes out to 7=7=7=7=7, so this is correct. Just use your calculator to solve these.

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