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Let's use the law of exponents for negative exponents:
and apply this law to the problem:
when we apply the above law of exponents to the second term in the sum, and the same law but in the opposite direction - we'll apply it to the fraction inside the parentheses of the third term in the sum,
Now let's recall the law of exponents for exponent of an exponent:
we'll apply this law to the expression we got in the last step:
when we apply this law to the third term from the left and then simplify the resulting expression,
Let's summarize the solution steps, we got that:
Therefore the correct answer is answer A.
\( \)Choose the corresponding expression:
\( \left(\frac{1}{2}\right)^2= \)
When you raise a fraction to a negative power, you flip it and make the exponent positive! So - that's 10 multiplied by itself 16 times!
Remember this pattern: negative exponent = flip and make positive. So . The negative sign tells you to flip the fraction!
Not easily! and is much larger. The answer stays as because these are very different sized numbers.
is straightforward. But needs two steps: first recognize , then apply .
You can only combine terms when you're multiplying powers with the same base, not adding them! stays as is, while .
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