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 Posted: Mon Mar 29, 2010 5:22 pm
Okay so I need help with my math homework. I am in Algebra II and I don't get my homework. The name of the worksheet says Simplifying Exponents. Would somebody please give me a step by step instructable on how to do these problems?
Write each expression as a single power. Do Not Evaluate.
8^3 times 8^7 = 8^10?? Is that right?
y^-8 times y^-2 = y^-10?? Is that right?
Simplify each expression. Write your answers using positive exponents.
This is the part that I don't get at all.
a^10b^-3
x^-4y^-3
a^7b^-4
c^-4/c^5
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Posted: Mon Mar 29, 2010 9:05 pm
8^3 x 8^7 = 8^10
y^-8 x y^-2 = y^-10
yes and yes
for the second part all your teacher wants you to recognize that
x^-2 = 1/x^2 and 1/x^-2 = x^2
the moral here is that a negative exponent can be flipped to the other side of the fraction and become a positive exponent.
using the above properties we can solve these, lets do the 1st one carefully
a^10b^-3
= a^10 x b ^-3
b^-3 you can "flip" to the bottom using the property above
b^-3 = 1/b^3
so
a^10 x b^-3
=a^10 x 1/b^3
which can be simplified as
a^10/b^3
lets do the next one the same way
x^-4y^-3
=x^-4 x y^-3
=1/x^4 x 1/y^3
=1/x^4y^3
just keep doing the same thing and you should get these answers
a^7b^-4
=a^7/b^4
c^-4/c^5
=1/c^4c^5
then these are the same variable you can do the same thing you did for the 1st part and add the exponents
=1/c^9
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