Exponent Laws: Key Concepts and Applications

What is the term used to describe the number that is being multiplied by itself in an exponentiation?

• Factor

• Exponent

• Base

• Power

If you have (a^m * a^n), what is the resulting exponent?

• (a^{m/n})

• (a^{mn})

• (a^{m+n})

• (a^{m-n})

Calculate (2^3 * 2^4) using the exponent rule.

• (2^7)

• (2^{12})

• (2^6)

• (2^1)

What is the rule for dividing exponents with the same base?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Simplify (x^5 / x^2) using the exponent rule.

• (x^2)

• (x^3)

• (x^7)

• (x^{10})

What is the result of ((a^m)^n)?

• (a^{m+n})

• (a^{mn})

• (a^{m-n})

• (a^{m/n})

Simplify (y^4) raised to the power of 5.

• (y^{25})

• (y^{10})

• (y^9)

• (y^{20})

What is the rule for distributing exponents over multiplication?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Distribute the exponent to each factor

Simplify ((x^2 y^3)^4) using the exponent rules.

• (x^6 y^{12})

• (x^8 y^9)

• (x^6 y^7)

• (x^8 y^{12})

What is the result of ((a * b)^n)?

• (a^{n+1} * b^{n+1})

• (a^{n-1} * b^{n+1})

• (a^{n-1} * b^{n-1})

• (a^n * b^n)