Exponent Rules No Negative Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the power of a product rule in exponents?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).

Front

Simplify: (xy^2z^3)^4

Back

x^4y^8z^12.

Front

Simplify: (2x^2)^3

Back

8x^6.

Front

Simplify: 3^3 ⋅ 3

Back

3^4.

Front

Simplify: x^4 (x^12)

Back

x^16.

Front

How do you simplify (2x^5)(6x^4)?

Back

Multiply coefficients and add exponents: 12x^9.