8th Grade Math Pod 10.20

8th Grade Math Pod October 20, 2020

Multiple Choice

Will these products be negative or positive?

A) (-1) x (-1) x ... x (-1) = (-1)¹²

B) (-1) x (-1) x ... x (-1) = (-1)¹³

• A) negative

  B) positive

• A) negative

  B) negative

• A) positive

  B) negative

• A) positive

  B) positive

Multiple Choice

If n is a positive even number, then (-55)ⁿ is

• Positive

• Negative

Open Ended

How can you re-write this expression using just one base number and one exponent?

14²³ x 14⁸

REMINDER:

If you're multiplying two numbers that have the same base, you can add the exponents and simplify

AKA

(a^b )x (a^c) = a^b+c

Multiple Choice

Which of these is a correct way to simplify this expression:

6⁵ x 4⁹ x 4³ x 6¹⁴

• 24¹⁴ x 24¹⁷

• 6¹⁹ x 4¹²

• 36¹⁹ x 16¹²

• It cannot be simplified

Open Ended

How can you simplify this expression?

_7⁹_

7⁶

REMINDER:

If you're dividing two numbers that have the same base, you can subtract the exponents and simplify!

AKA

(a^b ) / (a^c) = a^b-c

Open Ended

What does (1839880712392)⁰ equal?

REMINDER:

Any number to the 0^th power = 1

Multiple Choice

What is the value of (3 x 10^-5) ?

• 30^-5

• 10^-15

• _3_

  10⁵

• It cannot be simplified

REMINDER:

If you have a number with a negative exponent you can move it to the denominator and make the exponent positive

AKA

a^-b = 1/a^b

Open Ended

Let a, b, and c be numbers.

Simplify:

(3²a⁴)⁵

REMINDER:

If you have a number with an exponent being raised to another exponent, you can multiply the two exponents

AKA

(a^b)^c = a^{(b x c)}

Great Job!

Now it's time for a competition to see how much you remember :)

https://www.gimkit.com/view/5c3e056cf958060023e543e7