Exponents and Scientific Notation Review

An exponent is a number that indicates how many times to multiply the base by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning $$2 \times 2 \times 2$$ .

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as $$a \times 10^n$$ , where 1 ≤ a < 10 and n is an integer.

The value of $$\sqrt{169}$$ is 13.

The simplified form of $$8^{-9}$$ is $$\frac{1}{8^9}$$ .

0.00056 in scientific notation is $$5.6 \times 10^{-4}$$ .

To subtract numbers in scientific notation, ensure they have the same exponent. Adjust the numbers accordingly, then subtract the coefficients.

The result is $$-1.3 \times 10^6$$ .

To divide numbers in scientific notation, divide the coefficients and subtract the exponents.

The result is $$2 \times 10^4$$ .

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. For example, $$a^{-n} = \frac{1}{a^n}$$ .