Exponent Rules and Simplification Quiz

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Questions and Answers

What is the value of the expression $\frac{6^7 \times 6^2}{6^3 \times 6^5}$?

  • $6^4$
  • $6^2$ (correct)
  • $6^0$
  • $6^1$

How can the expression $6^7 \times 6^2$ be simplified before dividing by $6^3 \times 6^5$?

  • $6^{12}$
  • $6^{14}$
  • $6^{9}$ (correct)
  • $6^{5}$

What is the exponent of 6 in the denominator $6^3 \times 6^5$?

  • 2
  • 5
  • 8 (correct)
  • 3

If the expression $\frac{6^7 \times 6^2}{6^3 \times 6^5}$ equals $6^x$, what is the value of x?

<p>4 (A)</p> Signup and view all the answers

Which of the following properties of exponents is applied in the simplification of the expression?

<p>$x^a \div x^b = x^{a-b}$ (C)</p> Signup and view all the answers

Flashcards

Exponential Rules

Rules for manipulating expressions with exponents, such as multiplication and division.

Multiplying Exponents

When multiplying the same base, add the exponents together.

Dividing Exponents

When dividing the same base, subtract the exponents.

Power of a Power

When raising an exponent to another exponent, multiply the exponents.

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Final Simplified Expression

After simplifying the given expression, what form does it take?

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