Exponents

Negative Exponents

100

What is 10 to the power of negative 3?

0.001

200

What is 5 to the negative power of 2?

1/25

300

What is a negative exponent?

the multiplicative inverse of the base, raised to the power which is of the opposite sign of the given power.

400

How much is 10 power -4?

0.0001

500

What is 10 to the negative power of 2?

 The value of 10 to the power of negative 2 is 0.01

Multiplying Exponents

100

What is x if (x + 5)⁻³ = −1?

-6

200

Evaluate 2⁻⁵/2⁴

2⁻⁹

300

Whats is the value of 8 raised to the power 0?

1

400

If 19600 can be expressed as 2ᵃ × 5ᵇ × 7ᶜ, where a, b and c are positive integers, find the value of a + b

it is a multiple of 2

4

500

What will be the value of 3 power -2?

1/9

Powers of Exponents

100

simplify 1x1x1x1x1x1

1^(6 = 1

200

Simplify 5x5x5x5 and what is the answer when multiplied together? 

5^(4 = 625

300

simplify 10x10x10

10^(3 =1000

400

What are exponents?

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

500

what is 6^(10?

unsimplified and the actual answer 

6x6x6x6x6x6x6x6x6x6 = 60466176

Dividing Exponents

100

How do you divide exponents with powers of 10?

To divide by a power of 10, simply move the decimal to the left the same number of places as the exponent or as the number of zeros

200

What to do with exponents when you divide?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

300

What is the value of (-2/3)⁻¹

-3/2

400

how do you divide exponents?

 take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent)

500

what is x when we take 7 – 3 

x^(4

Mixed Operations

100

What does PEMDAS stand for?

parenthesis, exponents, multiplication, division, addition, subtraction

200

what is the first thing you do in order of operations 

anything in Parentheses

example: 5x*3 ( 4x-2y) 6y+2

300

What is a mixed operation?

 where different operations need to be coordinated

400

what is the new acronym that has been introduced to replace PEMDAS.

GEMS stands for Groupings, Exponents, Multiplication or Division, Subtraction or Addition. Groupings refers to all grouping symbols

500

How to do mixed operations?

Step 1: Perform operations that are within parenthesis. For example: 3 x (2 + 4).

Step 2: perform multiplication and division, always from left to right. For example: 24 ÷ 6 x 2.

Step 3: Finally, do additions and subtractions. For example: 2 + 3 x 5.