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Exponents
Evaluating Exponents
Are they right?
The Laws (rules) or exponents
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100
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.
100

This rule calls to add only  like terms/same exponents -keep the exponent the same

What is adding exponents?

200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)^3
64y^3
200
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
200

When multiplying these exponents, you need to keep the base and ADD the  exponents

What is multiplying exponents with the same base?

300
Evaluate the expression, (-3)^3
-27
300
Simplify: (x^5)(x^9)
x^14
300

Laura was given    6^2 x 6^4 to solve. She wrote her answer as 46,656. Was she correct?

No, she did not solve it correctly. Laura should have kept her base and added her exponents. Her answer would be 6^8 or 1,679,616.

300

True or False When multiplying exponents in parenthesis you need to keep the base and multiply the exponents 

True

400
Evaluate the expression, (149)^0
1
400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
400

The mass of Jupiter is about 10^2 x 10^23 kg. What is the mass of Jupiter?

The Mass of Jupiter is 10^25

400

To evaluate these exponents you must separate the base and then distribute the power (exponent) outside of parenthesis to each base.

What is raising a power to a power?

500
Evaluate the expression, 9^-2
1/81
500
Simplify: (5x^2)^3/(7y^9)^0
125x^6
500

Jahliek solved the problem shown below: (2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2 Is he correct? Explain.

No. He was supposed to add the exponents, not subtract.

500

Any number raised to this power is one (1)

What is a zero exponent? OR what is a number raised to the 0 power?