Exponents
Write 4x4x4x4x4x4x4 in exponential form.
4⁷
Write your answer using exponents. Remember...when in doubt expand it out!
(2²)³
2⁶
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10⁻⁷
No, it should be multiplied, not added.
Solve the expression. Write your answer in scientific notation. (3 x 10¹) x (1.04 x 10⁵)
3.12 x 10⁶
Is -2⁸ the same answer as (-2)⁸? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Write 3⁵ in expanded Form.
3x3x3x3x3
Simplify. Give a number answer for what you can: (4y)³
64y³
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.
1.9 x 10²⁷
Solve the expression. Write your answer in scientific notation. (2.45 x 10⁻⁴) x (2.9 x 10⁹)
7.105 x10⁵
Shelly's work is shown below: (5⁴)(5⁻³) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5¹=5
Evaluate the expression, (-3)²+18 x 2
45
Simplify: (x⁵)(x⁹)
x¹⁴
The mass of a Monarch butterfly is about 9.5 x 10⁻³. Write this number in standard form.
.0095
Use multiplication to find the product. Your answer should be in proper scientific notation.
(4.5 x 10³) x (3.4 x 10⁻⁹)
1.53 x 10⁻⁵
Is the following number written in scientific notation? Why or why not? 13.79 x 10^7
No, 13.79 is greater than or equal to 10.
Evaluate the expression, 149⁰
1
Simplify by dividing. Remember expand it out! :
36x⁴y³
6xy²
6x³y
The size of the Sahara desert is about 3.629 x 10⁶ square miles and the Arabian desert is about 9 x 10⁵ square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
Use division. Your answer should be in proper scientific notation.
9 x 10⁹
3 x 10⁷
3 x 10²
What is any number raised to the zero power?
1
Evaluate the expression, 9⁻²
1/81
Simplify: x⁻²
1/x²
Write 0.0000435 in scientific notation.
4.35 x 10⁻⁵
Use division to solve. Your answer should be in proper scientific notation.
4 x 10⁻⁴
2 x 10⁻⁸
2 x 10⁴
When you see a negative exponent, what should you draw?
a fraction bar