Simplify the following, and leave your answer in exponent form. 

bracket(sup(3,13))bracket(sup(3,24))


sup(3,11)

sup(3,312)

sup(3,37)

sup(3,13)

To simplify \((3^{13})(3^{24})\) and leave the answer in exponent form, we use the property of exponents that states:

\[ a^m \cdot a^n = a^{m+n} \]

Applying this property:

\[ (3^{13})(3^{24}) = 3^{13+24} = 3^{37} \]

Therefore, the simplified form of \((3^{13})(3^{24})\) is \(3^{37}\).

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Here are 8 related questions for further exploration:

1. Simplify \((5^{7})(5^{12})\) and leave the answer in exponent form.
2. Simplify \((2^{10})(2^{5})\) and leave the answer in exponent form.
3. Simplify \((4^3)(4^7)\) and leave the answer in exponent form.
4. Simplify \((x^2)(x^5)\) and leave the answer in exponent form.
5. Simplify \((7^{8})(7^{3})\) and leave the answer in exponent form.
6. Simplify \((a^{6})(a^{9})\) and leave the answer in exponent form.
7. Simplify \((10^4)(10^6)\) and leave the answer in exponent form.
8. Simplify \((y^5)(y^{15})\) and leave the answer in exponent form.

**Tip:** Remember that when multiplying powers with the same base, you add the exponents.

Learn how to simplify exponential expressions involving powers of 3 using the multiplication property of exponents. This problem covers fundamental concepts in exponents and is suitable for students in Grades 6-8.

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