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erma4kov [3.2K]
3 years ago
13

4. Lizette said this is correct. Is she right? Explain your answer to this question for

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

Please check the explanation!

Step-by-step explanation:

Given the expression what Lizzet said was correct

6^3\times \:\:3^6=18^8

No, she is not right. Let me solve the expression

Let us solve the expression

6^3\times \:\:3^6

=\left(3\times \:2\right)^3\times \:3^6

\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c

=3^3\times \:2^3\times \:3^6          ∵  \left(3\times \:2\right)^3=3^3\times \:2^3

\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}

=2^3\times \:3^{3+6}                 ∵  3^3\times \:3^6=\:3^{3+6}

=2^3\times \:3^9

Therefore, the correct expression will be:

6^3\times \:\:3^6=2^3\times \:\:3^9

which can be further simplified such as:

6^3\times \:\:3^6=2^3\times \:\:3^9

             =8\times \:19683

             =157464

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