Rules of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify the expression: (x^3)(x^4)

Back

x^7

Front

What is the power of a power rule in exponents?

Back

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

Front

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

Back

8x^6

Front

What is the zero exponent rule?

Back

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

Front

Simplify the expression: x^5 / x^2

Back

x^3

Front

What is the negative exponent rule?

Back

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

Front

Simplify the expression: 7^3 / 7^2

Back

7^1 or 7.

Front

What is the definition of an exponent?

Back

An exponent indicates how many times to multiply the base by itself.

Front

Simplify the expression: (3y^2)(4y^3)

Back

12y^5