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Which is an equivalent expression for (5² • 3⁴)³?

a. 15¹⁸
b. 5⁶ • 3¹²
c. 5² • 3¹²
d. 5⁵ . 3⁷

User Mbudnik
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2 Answers

3 votes
B is the answer.

5^6x3^12=46^6

User Cengizkrbck
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2 votes

Final answer:

To find the equivalent expression for (5² • 3⁴)³, simplify the expression inside the parentheses first, then cube the resulting expression. The equivalent expression is 5⁵ • 3⁷.

Step-by-step explanation:

To find an equivalent expression for (5² • 3⁴)³, we need to simplify the expression inside the parentheses first. (5² • 3⁴) is equal to (25 • 81).

Now, let's cube this expression. (25 • 81)³ can be simplified as (25³ • 81³).

Evaluating the exponents, we get (125 • 531,441).

Therefore, the equivalent expression for (5² • 3⁴)³ is 125 • 531,441, which is the same as 5⁵ • 3⁷.

User Shauno
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