Exponentiation is a mathematical operation, written a^{n}, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication:

a^{1} = a

a^{2} = a × a

a^{3} = a × a × a

a^{4} = a × a × a × a

and so on.

a

a

a

a

and so on.

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This tutorial will show you how to multiply constants and the variables. You will learn how to show the multiplication of variables as powers.

This tutorial will show you how to multiply constants and the variables. You will learn how to show the multiplication of variables as powers.

Use an exponent to write an expression

Use an exponent to write an expression with 5 3s that have a value of zero.

Use an exponent to write an expression with 5 3s that have a value of zero.

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The 2000 population of Jacksonville, Florida was 736,000 and was increasing at the rate of 1.49% each year. At that ...

The 2000 population of Jacksonville, Florida was 736,000 and was increasing at the rate of 1.49% each year. At that ...

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(r^{3}s^{-1} / r^{2}s^{6})^{-1}

What is the rule for adding an exponent with the same base?

What are the 3 rules for exponents?

(1.03)^{ .5}

Use properties of exponents to find an equivalent expression in the form ax^{n}

(3x^{3})^{3}

(3x

12x^{3} y

--------------

4x^{-2} y^{2}

Evaluate the expression using the properties of exponents.

2m^{2}*2m^{3}

3xy^{2} / 3x^{3}

2x^{4}y^{2}x^{3}y^{4}

(3b^{3}c^{-4})^{3}/ (4^{-1}b^{-3}c)

(3x)^{3}

9^{x}=27

What is x?

What is x?

7^{0}*5^{-3}

(-2x)(3xy)(4y)

(6n^{4})(3n^{3})

40-2^{3}-3^{2}+5^{0}

f(x) = (3/2)^{x}

(3x^{-3})^{0}

(-3)^{4} × (-3)^{3}

x^{9}/x^{-9}

2^{3/2}=32^{n}

What is the value of n?

What is the value of n?

(-3xy^{2})^{3} × (-2x^{2} × y)^{2}

2n^{-4}/(n^{4})*2n^{0}*2n^{2}

3^{x} = 11

27^{x}=81

So what if the exponent was zero? Does that make the whole answer 1?

* February 18, 2009, 9:45 pm*

Order of operations, rules for exponents associated with basic algebra.

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