Power Rule of Exponents

Front

What is the Power Rule of Exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents. For example, \( (a^m)^n = a^{m \cdot n} \).

Tags

CCSS.8.EE.A.1

Front

Simplify: \( (5y^3z^2)^5 \)

Back

\( 5^5y^{15}z^{10} \)

Front

Simplify: \( (3x^3y^5)^4 \)

Back

\( 81x^{12}y^{20} \)

Front

Which expression is equivalent to \( (2x)^3 \)?

Back

\( (2x)(2x)(2x) \)

Front

Simplify: \( ((9.2)^3)^7 \)

Back

\( 9.2^{21} \)

Tags

CCSS.8.EE.A.1

Front

Simplify: \( (m^3)^5 \)

Back

\( m^{15} \)

Tags

CCSS.8.EE.A.1

Front

What does it mean to simplify an expression using exponents?

Back

To simplify an expression using exponents means to reduce it to its simplest form by applying exponent rules.

Tags

CCSS.6.EE.A.1

Front

If \( a = 2 \) and \( b = 3 \), what is \( (ab)^2 \)?

Back

\( (2 \cdot 3)^2 = 6^2 = 36 \)

Tags

CCSS.6.EE.A.1

Front

What is the result of \( (x^2y^3)^4 \)?

Back

\( x^{8}y^{12} \)

Tags

CCSS.HSA.APR.A.1

Front

How do you simplify \( (a^m)(a^n) \)?

Back

You add the exponents: \( a^{m+n} \).

Tags

CCSS.8.EE.A.1