Unit 1: Exponent Rules & Scientific Notation

Exponent Rules

100

The result of 2³ x 2⁴.

What is 2⁷?

200

The rule for multiplying two powers with the same base.

What is "add the exponents"?

300

Simplify (x³)². 

What is x⁶?

400

What result of 5⁵ / 5².

What is 5⁴?

500

Simplify x⁰.

What is 1?

Converting to Scientific Notation

100

Convert 5,000 to scientific notation

What is 5 x 10³?

200

Convert 0.004 to scientific notation.

What is 4×10^-3?

300

The number represented by 3.2 x 10⁵.

What is 320,000?

400

The number represented by 7.6 x 10^-2

What is 0.076?

500

Convert 67,000,000 to scientific notation.

What is 6.7 x 10⁷?

Adding & Subtracting: Like exponents

100

(5 x 10³) + (3 x 10³)

What is 8 x 10³?

200

Add (7.5 x 10²) + (2.5 x 10²)

What is (1.0 x 10²)?

300

Subtract (9 x 10⁴) - (3 x 10⁴)

What is (6 x 10⁴)

400

Add (4.2 x 10⁵) + (3.8 x 10⁵)

What is (8.0 x 10⁵)?

500

Subtract (7.2 x 10⁶) - (5 x 10⁶)

What is (2.2 x 10⁶)?

Adding & Subtracting: Unlike Exponents

100

Add (3.5 x 10⁴) + (5.6 x 10³)

What is (4.06 x 10⁴)?

200

Add (6 x 10⁵) + (4.5 x 10⁴)

What is (6.45 x 10⁵)?

300

Subtract (9.8 x 10⁶) - (4.5 x 10⁵)

What is (9.35 x 10⁶)?

400

Add (2.2 x 10⁷) + (5.6 x 10⁶)

What is (2.76 x 10⁷)?

500

Subtract (7.5 x 10⁷) - (2.1 x 10⁶)

What is (7.29 x 10⁷)?

Misc.

100

What is scientific notation?

What is a way to write really big and small numbers?

200

The result of (10³) x (10⁴)

What is 10⁷?

300

To add or subtract numbers in scientific notation, the exponents must be _____.

What is "the same" or "equal"?

400

Convert 0.000780 to scientific notation.

What is 7.8 x 10^-4?

500

Simplify 3^4.

*Hint* (3 x 3 x 3 x 3)

What is 81?