Scientific Notation and Exponents

Operations with Scientific Notation (Written in Scientific Notation)

100

(3 x 10⁵)(2 x 10¹²)

What is 6 x 10¹⁷

200

(5 x 10⁹)(7 x 10³)

What is 3.5 x 10¹³

300

8 * (9 x 10⁴)

What is 7.2 * 10⁵

400

(6 x 10⁸) / (2 x 10⁶)

What is 3 x 10²

500

(2 x 10^-2) / (4 x 10³)

What is 5 x 10^-6

Scientific Notation and Standard Notation

100

This is 52,700,000 written in scientific notation.

What is 5.27*10⁷

200

This is .000048 written in scientific notation.

What is 4.8 * 10^-5

300

This is 9.5 * 10⁴ written in standard notation.

What is 95,000

400

This is 1.23 * 10 ^-5 written in standard notation.

What is .0000123

500

This is 524 * 10⁵ written in scientific notation.

What is 5.24 * 10⁷

Simplifying with Exponents

100

(6)^-2

What is 

1/36

200

(8x)^0

What is 1

300

-4x⁰

What is -4

400

(x⁶ y³)(x⁵ y⁵)

What is x¹¹ y⁸

500

(x⁷ y⁸) * (x^-5 y^-8)

What is x²

Exponent Rules

100

In this rule if we multiply with common bases we do this.

What is add exponents

200

In this rule if we divide, we do this to the exponents

What is subtract.

300

When we have a power to a power we do this with our exponents.

What is multiply

400

Anything to this power is equivalent to one.

What is zero.

500

As exponents increase by one we multiply the base one more time to simplify, so therefore if we decrease the exponent by one we do this.

What is divide by the base.

Operations With Exponents

100

(x)(x²)

What is x³

200

x³ * x²

What is x⁵

300

1/((x^2))*x^-3

written with no negative exponents

What is  1/x^5 

400

-mx^2 * m^3x^-2

What is -m⁴

500

(x)^2(x^5)^3

What is x¹⁷