Exponent Properties 4/10

Front

What is the product of powers property in exponents?

Back

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

Front

What is the power of a power property in exponents?

Back

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

Front

What is the power of a product property in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the quotient of powers property in exponents?

Back

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

Front

What is the zero exponent property?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent property?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Front

Simplify the expression: (z^5)^2

Back

z^10

Front

Simplify the expression: (i^6)^5

Back

i^30

Front

Simplify the expression: (xy)^7

Back

x^7y^7

Front

Simplify the expression: c^{10}/c^6

Back

c^4