viterjeff
Answered

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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​

Sagot :

✒️EXPONENTS

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

[tex] \large\underline{\mathbb{QUESTION}:} [/tex]

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

  • A. 10⁶
  • B. 5¹²
  • C. 25⁶
  • D. 5⁷

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \rm{D. \: 5^7} [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

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

  • = [tex] 5^3 \cdot 5^4 [/tex]

  • = [tex] 5^{(3\,+\,4)} [/tex]

  • = [tex] 5^7 [/tex]

[tex] \therefore [/tex] 5³ · 5⁴ is equal to 5⁷

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

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