Properties of Exponents

Front

What is the property of exponents that states \( a^m \cdot a^n = a^{m+n} \)?

Back

This property allows you to add the exponents when multiplying two powers with the same base.

Front

Simplify \( \frac{x^6}{x^2} \)

Back

\( x^4 \)

Front

What is the value of \( x^0 \) for any non-zero x?

Back

1

Front

What is the property of exponents that states \( (a^m)^n = a^{m \cdot n} \)?

Back

This property allows you to multiply the exponents when raising a power to another power.

Front

Simplify \( m \cdot m^5 \cdot m^6 \)

Back

\( m^{12} \)

Front

What is the value of \( 3^3 \)?

Back

27

Front

What is the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \)?

Back

This property allows you to subtract the exponents when dividing two powers with the same base.

Front

Simplify \( \left( \frac{x}{y} \right)^7 \)

Back

\( \frac{x^7}{y^7} \)

Front

What is the value of \( -4x^0 \)?

Back

-4

Front

What is the value of \( 2^4 \)?

Back

16