2. Which of the following is the product of 5³•5⁴ as a single power. A. 10^6B. 5...

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viterjeff @viterjeff

October 2022 1 5 Report

2. Which of the following is the product of 5³•5⁴ as a single power.

A. 10^6
B. 5^12
C. 25^6
D. 5^7

Answers & Comments

KAntoineDoix

Verified answer

✒️EXPONENTS

$••••••••••••••••••••••••••••••••••••••••••••••••••$

$\large\underline{\mathbb{QUESTION}:}$

Which of the following is the product of 5³•5⁴ as a single power.

A. 10⁶
B. 5¹²
C. 25⁶
D. 5⁷

$••••••••••••••••••••••••••••••••••••••••••••••••••$

$\large\underline{\mathbb{ANSWER}:}$

$\qquad \Large \rm{D. \: 5^7}$

$••••••••••••••••••••••••••••••••••••••••••••••••••$

$\large\underline{\mathbb{SOLUTION}:}$

» Using the law of exponents, multiplying the two numbers with the same base, their exponents will be added.

= $5^3 \cdot 5^4$

= $5^{(3\,+\,4)}$

= $5^7$

$\therefore$ 5³ · 5⁴ is equal to 5⁷

$••••••••••••••••••••••••••••••••••••••••••••••••••$

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