Exponents
Evaluate:
(2^2)^3
64
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.
(3.7 x 10^9) x (9.04 x 10^7)
3.3448 x 10^17
Is
-2^8
the same answer as
(-2)^8
? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Write
3^5
in expanded Form.
3x3x3x3x3
Simplify:
(4y)^3
64y^3
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 10^27
Solve the expression. Write your answer in scientific notation.
(8.45 x 10^12)/(2.5 x 10^7)
3.38 x 10^12
Shelly's work is shown below:
(5^4)(5^-3) = 5
Is Shelly correct? Explain.
Yes, 4+-3 = 1.
5^1 =5
Evaluate the expression,
(-3)^3
-27
Simplify:
(2x^5)(12x^3)
24x^8
The mass of a Monarch butterfly is about
9.5 x 10^-3
Write this number in standard form.
.0095
The total surface area of the earth, land and water is
5.1 x 10^8 km^2
. the surface area of the water is 361,000,000 km^2. What is the surface area of the land?
1.49 x 10^8 km^2
Is the following number written in scientific notation? Why or why not?
13.79 x 10^7
No, 13.79 is greater than 10. The number to the left of the decimal must be greater than 1 but less than 10.
Evaluate the expression,
1,234,000^0
1
Simplify:
(36x^4y^2)/(6xy^4)
(6x^3)/y^2
The size of the Sahara desert is about
3.629 x 10^6
square miles and the Arabian desert is about
9 x 10^5
square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
Humpback whales are known to weigh as much as
8 x 10^4
pounds.
The tiny krill they eat weigh only
2 x 10^-3
pounds. Approximately how many times greater than krill are humpback whales? Write your answer in standard form
40,000,000 times smaller
The mass of Mars is about
6.4 x 10^23 kg
It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter written in scientific notation.
1.9008 x 10^27
Evaluate the expression,
9^-2
1/81
Simplify:
(5x^2y)^3/(225x^9y)
(5y^2)/(9x^3)
List the numbers from smallest to largest using A,B, C, D
A. 3.4 x 10^-12
B. -3.4 x 10^12
C. 3.4 x 10^-13
D. -3.4 x 10^10
B, D, C, A
A computer can perform
4.66 x 10^8
instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second =
2.796 x 10^10
Per Hour =
1.6776 x 10^12
Jahliek solved the problem shown below
(2 x 10^4) x (1.8 x 10^6) = 3.6 x 10^24
Is he correct? Explain.
No. He was supposed to add the exponents, not multiply.