Solving Exponential Expressions Quiz

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20 Questions

What is the total mass of the Earth and Moon combined?

6.0435 × 10^22 kg

During a solar eclipse, when the Moon comes between Earth and Sun, what is the distance between Moon and Sun?

1492.16 × 10^9 m

What is 0.000035 expressed in standard form?

3.5 × 10^-5

Express 4050000 in usual form.

4.05 × 10^6

What is the total mass of Earth and Moon if the masses were both multiplied by 100?

604.35 × 10^23 kg

If the distance between Earth and Moon is doubled, what will be the new distance in standard form?

7.68 × 10^9 m

Express $3.52 imes 10^5$ in usual form.

$352000$

$7.54 imes 10^{-4}$ equals:

$0.000754$

$3 imes 10^{-5}$ in usual form is:

$0.03$

$1492.16 \times 10^8$ is equal to:

$1.49216 \times 10^{12} ,\text{m}$

When expressing very small numbers in standard form, what kind of exponents are typically used?

Negative exponents

What is the rule for multiplying numbers with negative exponents?

$a^m \times a^n = a^{m+n}$

Which expression represents the standard form of $0.0000005$ meters?

$5 \times 10^{-7}$ m

What is the total thickness of a stack with 5 books, each 20 mm thick, and 5 paper sheets, each 0.016 mm thick?

101.08 mm

To express $3.61492 \times 10^6$ in usual form, you would get:

$3614920$

Which law of exponents states that for any real number $a$, $a = 1$?

$a = 1$

What does the law $a^m \div a^n = a^{m-n}$ represent for numbers with negative exponents?

'Division' property of exponents

Expressing $4.5 \times 10^4$ in usual form gives:

$45000$

"Size of a plant cell is $0.00001275$ m" can be expressed in standard form as:

$1.275 \times 10^{-5}$ m

$31860000000$ can be expressed in standard form as:

$3.186 \times 10^{12}$

Test your skills in solving exponential expressions with this quiz. The quiz includes calculations involving exponents, negative numbers, and multiplication properties. Practice simplifying complex expressions and improve your math proficiency.

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