Exponent Laws

Product/Quotient of Powers

100

(x⁵)(x¹⁰)

x¹⁵

200

(7x^12y^4z)/(14x^7y^2)

What is

(x^5y^2)/2

300

(8x^-4y^-6)(-5x¹⁰y^-3)

What is (-40x⁶)/y⁹

400

(3x^-2yz^5)/(15x^7y^-3z^-4)

(y^4z^9)/(5x^9)

Add/Subtract in Scientific Notation

100

Add (3.5×10⁴) and (2.1×10⁵) and express the answer in scientific notation.

2.45×105

200

Subtract (8.9×10⁶) from (8.4×10⁶) and express the answer in scientific notation.

5×10⁵

300

Subtract (9×10⁻⁵) from (9.24×10⁻⁶) and express the answer in scientific notation.

8.076×10⁻⁵

400

Add (6.3×10²) and (−6), and express the answer in scientific notation.

6.24×10²

Power to a Power

100

(2x⁸)⁵

 32x⁴⁰

200

(5x^-3)/(4x^-3)

What is

5/4

300

(4x^-3y⁴)^-2

What is

x^6/ (16y^8)

400

Simplify and final answers should use positive exponents.

(-3x^-2y⁴z^-7)³

-27y¹²/x⁶z²¹

Multiply and Divide in Scientific Notation

100

(5 x 10⁹)(7 x 10³)

3.5 x 10¹³

200

(7.1 ×10^-5)× (6.7 ×10^-6 )

4.757 x 10^-10

300

(6 x 10⁸) / (2 x 10⁶)

3 x 10²

400

(2 x 10^-2) / (6 x 10³)

3.333 x 10^-6

Mixed Goodies

100

This is .000048 written in scientific notation.

4.8 x 10-5

200

Write 1.23 x 10 ^-5  in standard notation.

0.0000123

300

((3x^-3)^2)/(6x)

(3)/(2x^7)

400

(14x⁷ y⁸)

/

 (56x^-5 y¹¹)

^x12/4y3