Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is
.
Solution
-
Recognize that both
and are powers of . We have: -
-
Multiply the two numbers:
-
Compute the fifth root of the product:
-
Simplify:
Thus, the answer is
.
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The Deep Dive
To tackle the expression
, let’s break it down a bit. First,
is
and
is
. So, when you multiply them together,
. Now, when you raise this to the power of
, you get
.
So, the answer is
.
Using exponents can seem daunting at first, but once you get the hang of it, it’s like a magical toolkit for simplifying complicated expressions into something coherent and manageable. Just think of exponents as a sneaky shortcut that saves you time and keeps your brain sharp!
And speaking of shortcuts, always keep in mind the base numbers you’re working with. Knowing that
and
are powers of two means you can combine them for quicker calculations. Look out for little number patterns—like these powers—because they’ll help you navigate the numerical labyrinth with finesse and style!