Powers and Exponents Review

Describe Numbers

100

The number in a power that is multiplied repeatedly

What is the base?

200

The number in a power that indicates how many times to repeatedly multiply the base by itself

What is the exponent?

300

A number that multiplies a power

What is the coefficient? 

400

It is 9⁴

What is 9x9x9x9 in exponential form?

500

They is 2x2x6x6, 2x2x2x2x3x3, 4x4x3x3

What are three different ways to represent 144 using repeated multiplication? 

Exponent Laws

100

if the bases are the same simplify by adding the exponents

What is the product of powers law?

200

if the bases are the same simplify by subtracting the exponents 

What is the quotient of powers law?

300

simplify by multiplying the two exponents

What is the power of a power law?

400

a^m x b^m

What is another way to write (a x b)^m?

500

aⁿ/bⁿ

What is another way to write (a/b)ⁿ?

Order of Operations

100

Brackets,Exponents,Divide and Multiply in order from left to right, Add and Subtract in order from left to right

What is proper order of operations? 

200

Please excuse my dear aunt Sally 

What is a common acronym to remember proper order of operations? 

300

Multiply straight accross (numerator by numerator, denominator by denominator) 

What is the correct method to multiply fractions? 

400

Flip and multiply or find a common denominator and then divide the numerators

What is the correct way to divide fractions? 

500

Find a common denominator

What is the first step in adding or subtracting fractions?

Solve Problems

100

a letter that represents an unknown number

What is a variable? 

200

a² + b² = c²

What is the Pythagorean relationship?

300

πr² (3.14...x r x r) 

What is the formula to find the area of a circle?

400

4πr² (4x3.14...xrxr)

What is the formula to find surface area of a sphere?

500

When one bacterium doubles its size and genetic material, then splits to produce two identical cells.

What is binary fission?