Exponential Mastery

Simplify the expression: \( (x^3)(x^4) \)

• \( x^7 \)

• \( x^{12} \)

• \( x \)

• \( x^{3/4} \)

What is \( 5^0 \) equal to?

• 0

• 1

• 5

• Undefined

Simplify: \( \frac{a^8}{a^3} \)

• \( a^5 \)

• \( a^{11} \)

• \( a^3 \)

• \( a \)

Calculate the value of: \( (2^3)^4 \)

• \( 2^{12} \)

• \( 2^7 \)

• \( 8^4 \)

• \( 64 \)

Simplify the expression: \( (xy)^5 \)

• \( x^5y^5 \)

• \( x^10y^10 \)

• \( x^5 + y^5 \)

• \( 5xy \)

What is the simplified form of \( \frac{2^{-3}}{2^{-5}} \)?

• \( 2^{-8} \)

• \( 2^{-2} \)

• \( 2^2 \)

• \( 2^8 \)

Simplify: \( 7^1 \cdot 7^{-1} \)

• 0

• 1

• 7

• 49

If \( x^{-4} = \frac{1}{16} \), what is the value of \( x \)?

• 2

• -2

• 4

• -4

Simplify the expression: \( (3^2)^{-1} \)

• \( 3^{-2} \)

• \( 3^2 \)

• \( \frac{1}{3} \)

• \( \frac{1}{9} \)

Simplify: \( x^3 \cdot x^0 \)

• \( x^3 \)

• \( x^0 \)

• 0

• 1