Question

The value of 343 raised to the power log7(16) is ?​

Answer 1

Answer:

8.97307803 ⋅ 10^283

Step-by-step explanation

this is in decimal form hope this broke it down a little for you at least

Answer 2

Given,

The number$\[ = {343^{\log {7^{16}}}}\]$

Solution,

Formula used,$\[\log {m^n} = n\log m\].$

Apply the formula to the given number.

$\[\begin{array}{l} \Rightarrow {343^{\log {7^{16}}}}\\ \Rightarrow {343^{16\log 7}}\end{array}\]$

Apply the value of $\[\log 7 = 0.845\]$

Therefore,

$\[\begin{array}{l} \Rightarrow {343^{16 \times 0.845}}\\ \Rightarrow {343^{13.52}}\\ \Rightarrow 1.89 \times {10^{34}}\end{array}\]$

Hence, the required value is $\[1.89 \times {10^{34}}.\]$