Exponents are nothing but multiplying the number by itself. For example, y2 is the same as y * y. Exponent denotes the number of times the number needed to be multiplied by itself. An exponent is nothing but a superscript, or small number that can be written at the top right edge of a number, variable, or set of parentheses. In this article we shall discuss the adding exponents worksheet.
Problems for Adding Exponents Worksheet:
Adding exponents worksheet:
Problem 1:
To find x3y4. x5y3
Solution:
Rearrange the factors and multiply the exponent terms, using the rule
Here,
am.an = am+n
= (x3. x5)( y3. y4)
= x8. Y7
X and y are different terms,
So the final result is x8. Y7
Problem 2 for Adding exponents worksheet:
To find (32)3
Solution:
(32)3 = 93 = 729 using power rule,
The answer is 729
Problem 3:
To find (22)3
Solution:
(22)3 =(2x2)3 = 43=64 using power rule,
The answer is 64
Mixed variables for multiply exponents worksheet:
Have a mix of variables:
Example 1:
=xy2z y3z
=x y2+3z1+1
=xy5z2
so the result is =x3y5z2
Example 2:
=x3y3z3 . x2yz
=x3+2 y3+1 z3+1
=x5y4z4
so the result is =x5y4z4
With constant examples:
Example 1:
=5xyz .4xyz
=(5 4)x1+1 y1+1 z1+1
=20x2y2z2
The result is =20x2y2z2
Example 2:
=7xyz.3 x2yz
=(73 ) x1+2y1+1z1+1
=21x3 y2z2
The result is =21x3 y2z2
More Examples for Multiply Exponents Worksheet:
Example 1:
=5xyz `xx` 4xyz
= (5`*` 5)x1+1 y1+1 z1+1
=25x2y2z2
The result is =25x2y2z2
Example 2:
=7xyz `xx` 4 x2yz
= (7`*` 4) x1+2y1+1z1+1
=28x3 y2z2
The result is =28x3 y2z2
Example 3:
=5xyz `xx` 7xyz
=(7`*` 5)x1+1 y1+1 z1+1
=35x2y2z2
The result is =35x2y2z2
Example 4:
=7xyz ` xx` 2 x2yz
= (7`*` 2 ) x1+2y1+1z1+1
=14x3 y2z2
The result is =14x3 y2z2