What is the expression for $$d^6 d^{f0}$$ ?

Using the Law of Exponents, this simplifies to $$d^{6+0} = d^6$$ .

What is the expression for $$p^5 \times (p^3q)^0 \times q^5$$ ?

Since $$(p^3q)^0 = 1$$ , the expression simplifies to $$p^5 \times 1 \times q^5 = p^5 q^5$$ .

What is the expression for $$(3y)^{-4} \times (2z)^{-4}$$ ?

This simplifies to $$\frac{1}{(3y)^4} \times \frac{1}{(2z)^4} = \frac{1}{6y^4z^4}$$ .

What is the expression for $$5m^4n^{-2} \times (-9m^3n^8)$$ ?

This simplifies to $$-45m^{4+3}n^{-2+8} = -45m^7n^6$$ .

What is the expression for $$\frac{p^5q^5}{p^3q}$$ ?

This simplifies to $$p^{5-3}q^{5-1} = p^2q^4$$ .

What is the expression for $$(p^3q)^5$$ ?

This expands to $$p^{3 \times 5}q^{5} = p^{15}q^5$$ .

What is the expression for $$(2x^2)^3$$ ?

This expands to $$2^3 \times (x^2)^3 = 8x^6$$ .

What is the expression for $$\frac{(x^2y^3)^2}{x^3y}$$ ?

This simplifies to $$\frac{x^{2 \times 2}y^{3 \times 2}}{x^3y} = \frac{x^4y^6}{x^3y} = x^{4-3}y^{6-1} = xy^5$$ .

What is the expression for $$(a^m \times b^n)^p$$ ?

This expands to $$a^{mp} \times b^{np}$$ .

4.17 McManus MA.8.AR.1.1 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Law of Exponents for multiplying like bases?

Back

2.

FLASHCARD QUESTION

Front

What is the Law of Exponents for dividing like bases?

Back

3.

FLASHCARD QUESTION

Front

What is the Law of Exponents for raising a power to a power?

Back

4.

FLASHCARD QUESTION

Front

What is the value of any non-zero number raised to the power of zero?

Back

5.

FLASHCARD QUESTION

Front

What is the value of a number raised to a negative exponent?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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