exponent rules 12/10

Front

What is the Quotient Rule for exponents?

Back

The Quotient Rule states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

How do you simplify a negative exponent?

Back

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

Front

Simplify: 7^(-2)

Back

1/7^2 = 1/49.

Front

What is the Product Rule for exponents?

Back

The Product Rule states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: 6x^2 ⋅ 2y^4 ⋅ x

Back

12x^3y^4.

Front

What is the Power of a Power Rule?

Back

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

Front

Simplify: (-3x^4)^3

Back

(-3)^3 * x^(4*3) = -27x^12.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to understand or calculate.

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: x^5 * x^2

Back

x^(5+2) = x^7.