Can you simplify 2 to the third power times 2 to the fifth power?

Answer 1

Yes, the exponential property #x^m#(#x^n#) = #x^(m + n)# can be used to simplify this problem.

#2^3#(#2^5#)
=#2^(5 + 3)#
= #2^8#
So, your problem can be simplified to #2^8#.
Beware that if you have an addition/subtraction (e.g #2^5# + #2^6#) you cannot simplify with this rule. With division you can, but you subtract exponents instead of adding them. Also, this rule only works if the bases are equal

Practice exercises:

a) #3^4 / 3^2#
b) #3^4(3^2)#
c) #3^4 - 3^2#
d) #3^4 / 3^-2#
e) #3^2(2^2)#
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Answer 2

Sure, when you multiply two exponents with the same base, you add their exponents. So, 2 to the third power times 2 to the fifth power simplifies to 2 to the power of (3 + 5), which is 2 to the eighth power. Therefore, 2 to the third power times 2 to the fifth power equals 256.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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