A.11B IP-Product and Quotient of Powers Practice

Front

What is the product of powers rule in exponents?

Back

When multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the quotient of powers rule in exponents?

Back

When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

Simplify the expression: (x^2)(x^3)

Back

x^5

Front

Simplify the expression: (y^4)(y^2)

Back

y^6

Front

Simplify the expression: (a^5)(a^0)

Back

a^5 (Any number to the power of 0 is 1, but it does not change the base when multiplied.)

Front

Simplify the expression: (b^7)/(b^2)

Back

b^5

Front

What happens to the exponent when raising a power to another power?

Back

You multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify the expression: (2^3)(2^2)

Back

2^5

Front

Simplify the expression: (c^6)/(c^3)

Back

c^3

Front

What is the value of x in the expression: x^3 * x^5 = x^x?

Back

x = 8 (since 3 + 5 = 8).