What is the rule for simplifying $$\frac{1}{x^{-n}}$$ ?

The rule states that $$\frac{1}{x^{-n}} = x^{n}$$ .

Simplify the expression $$\left(5^{4}\right)^{3}$$ .

The simplified form is $$5^{12}$$ .

Simplify the expression $$(-4r^{5})(2r^{8})$$ .

The simplified form is $$-8r^{13}$$ .

What is the simplified form of $$x^{-n}$$ ?

The simplified form is $$\frac{1}{x^{n}}$$ .

What is the power of a product rule?

The power of a product rule states that $$(ab)^{n} = a^{n}b^{n}$$ .

What is the power of a power rule?

The power of a power rule states that $$(a^{m})^{n} = a^{mn}$$ .

What is the value of $$7 x 7 x 7 x 7 x 7 x 7$$ in exponential form?

The value in exponential form is $$7^{6}$$ .

What happens when you multiply two expressions with the same base?

When you multiply two expressions with the same base, you add the exponents.

What is the simplified form of $$x^{0}$$ ?

The simplified form is 1, as any non-zero number raised to the power of zero is 1.

What is the simplified form of $$\frac{a^{m}}{a^{n}}$$ ?

The simplified form is $$a^{m-n}$$ .

What is the rule for simplifying $$(a^{m})^{n}$$ ?

The rule states that $$(a^{m})^{n} = a^{mn}$$ .

Flashcard 3: Exponential Rules (Mixed Properties) Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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What is the value of any expression raised to the power of zero?

Back

Any expression (except zero) raised to the power of zero is equal to 1.

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

How do you express repeated multiplication of the same number in exponential form?

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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