How do you calculate the area of a circle with radius $$6x^9y^5$$ ?

Area = $$\pi r^2 = 12\pi x^{18}y^{10}$$

What is the equivalent expression for $$\left(15a^0b^2c^{34}\right)\left(3a^{16}b^{-29}c^0\right)$$ ?

$$\frac{45a^{16}c^{34}}{b^{27}}$$

What is the power of a power rule in exponents?

You multiply the exponents: $$(a^m)^n = a^{m \cdot n}$$ .

What is the zero exponent rule?

Any non-zero base raised to the power of zero equals one: $$a^0 = 1$$ .

What is the negative exponent rule?

A negative exponent indicates a reciprocal: $$a^{-n} = \frac{1}{a^n}$$ .

How do you simplify $$\frac{a^m}{a^n}$$ ?

You subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

What is the area formula for a circle?

The area of a circle is given by $$A = \pi r^2$$ .

What is the definition of an exponent?

An exponent indicates how many times to multiply the base by itself.

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Math

Algebra

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Equivalent Expressions And Exponents

Equivalent Expressions and Exponents

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Mathematics

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9th - 12th Grade

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FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Define an equivalent expression in algebra.

Back

An equivalent expression is one that has the same value for all values of the variables.

FLASHCARD QUESTION

Front

What is the product of two powers with the same base?

Back

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