Question

(-8)11×(-8)5=(-8)3x+1 I know answer is 5 but how to solve it give me with solution.
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Answer 1

Answer:

The value of the variable is $x=5$

Step-by-step explanation:

The following rule applies to exponents of the same number. It is given by,

$a^m\times a^n=a^{m+n}$

We should add the exponents.

Here we have,

$(-8)^{11}\times (-8)^5=(-8)^{3x+1}$

Thus using the rule of exponents, we have the equation,

$\implies 3x+1=11+5\\\\\implies 3x+1=16\\\\\implies 3x=16-1=15\\\\\implies x= \frac{15}{3}=5$

So the solution is $x=5$