Basic Properties of Exponents (Product, Quotient, Power)

Front

What is the product rule of exponents?

Back

When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient rule of exponents?

Back

When dividing two expressions with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power rule of exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of 2^2 * z^7?

Back

2^2 * z^7 = 4z^7.

Front

What happens to the exponents when multiplying the same base?

Back

You add the exponents.

Front

What is the simplified form of (3x^2)^3?

Back

(3x^2)^3 = 27x^6.

Front

What is the simplified form of (x^0y^2)^4?

Back

(x^0y^2)^4 = x^0y^8 = y^8.

Front

What is the value of z^5 * z^5?

Back

z^5 * z^5 = z^(5+5) = z^10.

Front

What is the simplified form of (a^3b^2)^2?

Back

(a^3b^2)^2 = a^(3*2)b^(2*2) = a^6b^4.

Front

What is the value of (2^3)^2?

Back

(2^3)^2 = 2^(3*2) = 2^6 = 64.