Battle of the Brains: Exponents Review

What Dat Mean?

100

What does the Quotient of Powers Law require?

Subtract the exponents, keep the base

200

What does the Product of Powers Law require?

add the exponents, keep the base

300

What does the Power of a Quotient Law require?

The exponent outside the parentheses gets multiplied by the exponents in the numerator and denominator. The bases stay the same.

400

What does the Power of a Power Law require?

Multiply the exponents, keep the base

500

What does the Power of a Product Law require?

Multiply the bases, keep the exponents the same

Easy Peasy, Lemon Squeezy

100

Simplify 4⁹ x 5⁹

20⁹

200

How do you expand exponents?

List the base out how many times the exponent tells us to

300

Before we can solve an exponent, we must.....

Simplify and expand the exponent

400

6^2 x 2^2

12^2

500

Simplify: 2 over 2 to the power of 3 TIMES 2 to the power of 4

2^2

You Got This 5

100

Evaluate 6.475929947935^0

1

200

Show how you know that 25^3 = 5^6 using the laws of exponents; mention which law you used

power of a power; (5^2)^3

300

How can you use the laws of exponents to write equivalent expressions?

The laws of exponents show you what to do with expressions that have exponents

400

I change my exponent to a fraction, making my numerator 1 and the denominator is the base with a positive exponent when I have....

negative exponents

500

Evaluate 3^4 x 3^-2 using the laws of exponents.

9

The Math Aint Mathing

100

Which expression is equivalent to 2^3?

a. 16^0 x 4^-3

b. (2^2)^2

c. 4^4/2^5

c. 4^4/2^5

200

Evaluate (solve) 64^3 x 8^-2 using the laws of exponents

hint: simplify (see if the expression can follow a law), expand (each exponent expands its own base), solve (multiplying the base by itself how many times the exponent says)

4096

300

Rewrite (5)^-4 using only positive exponents, then evaluate it

1/5^4 = 1/625

400

Rewrite 7^-3 using the negative power law

1/7^3

500

(7/8)^0 

1

Big Brain Energy

100

How many hearts does an octopus have?

3

200

Which fruit is technically a berry because it has seeds?

Banana

300

Where was pizza first developed as we know it today?

Italy

400

Which of these is NOT actually a nut?
A. Almond
B. Peanut
C. Walnut
D. Cashew

B. peanut

500

Which part of the human body uses the most energy?
A. Heart
B. Brain
C. Stomach
D. Muscles

B. Brain