App Math 1/2 Simplifying & Evaluating Exponents & Roots

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 $$2 \times 2 \times 2 = 8$$ .

$$a^{m+n}$$ . When multiplying two powers with the same base, you add the exponents.

5184.

$$a^7b^2$$ . You add the exponents of like bases.

$$-\frac{1}{7}$$ .

8. The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

1. Any non-zero number raised to the power of zero is equal to one.

$$\frac{1}{16}$$ . A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

$$|x|$$ . The square root of a variable squared is the absolute value of that variable.

$$\frac{1}{|x|}$$ . The square root of a variable squared is the absolute value.