Exponents and Radicals

radicals

100

What is the solution to this problem? (36a⁵/4a⁴b⁵)^-2

(\frac{36a^5}{4a^4b^5})^{-2}

The solution would be 

\frac{b^{10}}{81a^2}

200

Is this true or false, any base powered by 0 exponent is one?

This is true 

300

Solve this, (a⁵)^-1

The answer is a^-5

400

Simplify the square root of 40.

2 times square root of 10

500

Simplify the cube root of 250

5 times cube root of 2

exponents

100

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

True

200

True or False:  When you multiply terms,  the coefficients are multiplied and the exponents for like bases are subtracted.

False, you should add the exponents of like bases.

300

Solve this 7(8¹)= 

The answer is 56.

400

Define exponent.

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

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

simplifying radicals

100

simplify: 

3\sqrt{8}

6\sqrt{2}

200

Rewrite with rational exponents:

root(3)((32)

(2root(2)(4)

300

Simplify: 

\sqrt{75}

5sqrt{3}

400

simplify:

root(3)(216)

6

500

Simplify: 

\sqrt{64m^3n^3}

8mn\sqrt{mn}