Question

3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.

Answer 1

Answer:

3^6 = 729

Step-by-step explanation:

3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6  

Symbolically, we have:

3^5 = 243 (given)

Multiplying both sides by 3, we get:

3^6 = 3(243)

If you want to take this further, multiply 3(243):  3^6 = 729

Answer 2

The value of $3^6$ is 729.

Important information:

• $3^5=243$

Exponents:

We need to find the value of $3^6$.

Using the rules of exponents, we get

$3^6=3^{5+1}$

$3^6=3^{5}*3^{1}$          $[\because a^{m+n}=a^ma^n]$

$3^6=243*3$

$3^6=729$

Therefore, the value of $3^6$ is 729.

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