Exponents and Radicals

exponents

100

Define exponent.

Number that tells you how many times your write your base and multiply.

200

Is this true or false, any non zero number with an exponent of zero is equivalent to 1?

True

300

when you multiply the coefficients do you add or multiply the exponents 

add the exponents 

400

Solve this 7(8¹)= 

The answer is 56.

500

Solve this 4a³b² (3a^-4b^-3)

The answer is 

\frac{12}{ab}

properties of exponents

100

a^{m  .}   aⁿ=?

a^m+n

200

(ab)ⁿ=?

aⁿ/bⁿ

300

a⁰=?

1

400

\frac{a^{-m}}{b^m} = ?

\frac{1}{a^mb^m}

500

Solve this 

\frac{21d^{18}e^5}{7d^{11}e^3}

The answer is 3d⁷e²

radicals

100

What is this called?

sqrt

Square Root

200

simplify: 

sqrt{81}

9

300

simplify: 

sqrt{25}

5

400

Simplify:

sqrt(3x^2)

x sqrt{3}

500

simplify:

sqrt(16y^8)

4y⁴

simplifying radicals

100

Simplify.

sqrt(196c^5d^2)

13c^2d sqrt(c^1)

200

Simplify: 

\sqrt{64m^3n^3}

8mn\sqrt{mn}

300

Simplify: 

sqrt{75x^2y^5}

5xy^2sqrt{3y}

400

Simplify.

sqrt (81r^7s^4)

9s^2r^3 sqrt(r)

500

Simplify.

sqrt(300h^4)

10h^2 sqrt(3)