7th gr Exponents Review

Zero & Negative Power Rule

100

Any thing raised to a zero power is equal to_____.

What is one ? 

200

If a negative exponent is in the numerator it gets moved to the______________

denominator

300

1/(a^13)

a^-13

400

Simplify:

6c^-3

6/(c^3)

500

Simplify:

(xyz)^0(z^-3)

1/z^3

 

Product Rule

100

If I am multiplying numbers with the same base I should _____ the exponents 

Add

200

x³x²

x⁵

300

(3x¹¹)(-1x¹²)

-3x²³

400

Simplify:

(2x²y⁵)(3x¹¹y⁹)

6x¹³y¹⁴

500

Simplify:

(6a^10b^23)/(2a^7b^12)

3a³b¹¹

Power Rule

100

If I am dividing two powers with the same base I should _________ their exponents

subtract

200

x⁸/x⁵

x^3

300

x²y⁹/xy²

xy⁷

400

x^-2/y²

1/(x^2y^2)

500

x⁸y³/x²y⁵

x⁶/y²

Scientific Notation

100

Scientific notation requires a number between ______ multiplied by 10ⁿ​​​​

1 and 10

200

In scientific notation the 10 must have a power that is a ___________

ex. 3 x 10⁵

Integer OR Whole number

300

Is this in scientific notation? 11x10¹³

No 

400

Write this number in scientific notation: 14500

1.45x10⁴

500

Write this number in Standard Form: 3.050x10^-5

0.00003050

Random Review

100

What do you do with the exponents when applying the Product Rule?

When the bases are the same, add the exponents. 

200

What happens when you have 0 as the exponent.

The base becomes 1.

300

What is the GCF of 10 and 30?

10

400

What is the LCM of 4 and 6?

12

500

What is the LCM of 35 and 17?

595