7 B1 Rational Exponents Memorize Exponent 2 3

7 B-1 Rational Exponents

Memorize Exponent 2 3 4 5 6 7 8 9

Memorize Exponent 2 3 4 5 6 7 8 9 4 9 16 25 36 49 64 81 8 27 64 125 216 343 512 729 16 81 256 625 32 243 1024 64 729 128 256

& RATIONAL EXPONENT S

Parts of a radical No number for the root means it’s a square root (2)!!

Simplifying Radicals Break down the radicand into prime factors. Bring out groups by the number of the root.

Simplify

Simplify

Simplify

Simplify

REWRITING A RADICAL TO HAVE A RATIONAL EXPONENT

Rewriting Radicals to Rational Exponents Power is on top Roots are in the ground

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewrite with a Rational Exponent

Rewriting Rational Exponents to Radicals

Rewrite with a Rational Exponent (don’t evaluate)

Rewrite with a Rational Exponent (don’t evaluate)

Rewrite with a Rational Exponent (don’t evaluate)

SIMPLIFY Mental Math Root first Then power (Odd exponents can be negative)

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

SIMPLIFY

18. The cube below has a volume of 343 cubic inches. Find the length of an edge of the cube.

19. The volume of a basketball is approximately 448. 9 cubic inches. Find the radius of the basketball to the nearest tenth.