Insert the corresponding expression:
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Insert the corresponding expression:
To solve this problem, we'll simplify the expression by applying the properties of exponents:
Let's work through the solution with these steps:
Given the expression , both terms share the same exponent . Therefore, we can combine them by multiplying the bases and keeping the common exponent:
This simplification follows directly from the rule of exponents, which states when is the same for both terms.
Therefore, the simplified expression is .
\( (4^2)^3+(g^3)^4= \)
This works because of the distributive property of exponents! When you have , you're really multiplying y copies of 5 times y copies of 3, which equals y copies of (5×3).
You cannot combine the bases when exponents are different! stays as . The rule only works when exponents match exactly.
Yes! For example: . As long as all exponents are identical, you can multiply all the bases together.
That's a completely different rule! When the bases are the same but exponents differ, you add the exponents: . Here we have different bases with same exponents.
You can write it as if you want, but is already considered simplified in terms of exponent properties. Both forms are correct!
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