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Math

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PROBLEM

Simplify x4x3x^{4} \cdot x^{3}.

STEP 1

Assumptions1. We are given an expression with two terms, x4x^{4} and x3x^{3}, being multiplied together.
. The base (x) for both terms is the same.
3. The exponents are4 and3 respectively.

STEP 2

When multiplying terms with the same base, we add the exponents. This is based on the rule of exponents which states that aman=am+na^{m} \cdot a^{n} = a^{m+n}.
x4x=x4+x^{4} \cdot x^{} = x^{4+}

SOLUTION

Now, add the exponents and3 together.
x+3=x7x^{+3} = x^{7}So, the simplified form of xx3x^{} \cdot x^{3} is x7x^{7}.

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