Exponent and scientific notation basics | Baamboozle - Baamboozle

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Which is greater: the diameter of a red blood cell ( 6.2 × 10−⁶m) or a virus (1.5 × 10−⁸)?

6.2 × 10⁻⁶ m is greater

Simplify: ( 𝑏³ )⁴

b¹² (Multiply exponents)

Simplify: 𝑥 ⁹ ÷ 𝑥 ³

x ⁶ (Subtract exponents)

Simplify: ( 2³ )²

2⁶ =64

The half-life of Uranium 234 is 2.5 × 10⁵ years and the half-life of Plutonium is 8.0 × 10⁷ years. How many times greater is the half-life of Plutonium than Uranium 234?

(8.0 × 10⁷ ) / (2.5 × 10⁵ ) = 3.2 × 10² = 320 times greater.

Express in standard form: 7.2 × 10³

7200

Which is greater: 5.6×10 −⁵ or 5.6×10−³

5.6 × 10⁻³ is greater

A cell is 3 × 10 − ⁶ meters wide. What is the width of 1000 cells?

3×10 −³ meters

Simplify: 𝑎 ⁴ × 𝑎 ⁶

𝑎 ¹⁰ (Add exponents)

Simplify: 10⁷ ÷ 10⁵

10² =100

Simplify: 3² × 3⁴

3⁶

What is any number raised to the power of 0?

1 (e.g., 5⁰ = 1)

Express in scientific notation: 4,500,000

4.5×10⁶

A computer processes 5 × 10⁶ bits per second. How many bits in 3 seconds?

1.5×10⁷

Simplify and evaluate: ( 5² )²

5⁴ = 625