Exponent Rules and Scientific Notation

Front

What is the Quotient Rule for Exponents?

Back

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

Front

Simplify: 8⁷ / 8²

Back

8⁵

Front

What is Scientific Notation?

Back

A way to express numbers as a product of a number between 1 and 10 and a power of 10.

Front

Multiply: (3.4 x 10⁵)(1.2 x 10⁻³)

Back

4.08 x 10²

Front

What is the Product Rule for Exponents?

Back

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

Front

Multiply: (9.4 x 10⁶)(3.2 x 10⁵)

Back

3.008 x 10¹²

Front

What does a negative exponent represent?

Back

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

Front

Simplify: x⁻⁷

Back

1/x⁷

Front

What is the value of 9⁵ / 9⁹?

Back

9⁻⁴ or 1/9⁴.

Front

What is the value of 10⁴ x 10²?

Back

10⁶ (add the exponents).