Positive Exponents

Front

What is a positive exponent?

Back

A positive exponent indicates how many times a number (the base) is multiplied by itself. For example, 2^3 means 2 × 2 × 2 = 8.

Front

What is the product of powers rule?

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?

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?

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 (where a ≠ 0).

Front

Calculate (3x^2)^4.

Back

81x^8.

Front

Calculate (5^3)².

Back

125.

Front

What happens when you multiply powers with the same base?

Back

You add the exponents.

Front

Calculate 2^4 × 2^3.

Back

2^7.

Front

Calculate (4x^2y)^3.

Back

64x^6y^3.