Question

Evaluation of 8³ × 8² × 1/8⁵ is ………….​

Answer 1

Answer:

1

Step-by-step explanation:

8³ × 8² × 1/8⁵

= 8⁽²⁺³⁾ × 1/8⁵

= 8⁵ × 1/8⁵

= 1

Answer 2

So first we will recall the laws of exponents.

We will use this law first ⇒ $a^{m}*a^{n} = a^{m+n}$

$8^{3}*8^{2} *\frac{1}{8^{5} }$

$8^{3+2} *\frac{1}{8^{5} }$

$8^{5} *\frac{1}{8^{5} }$

Now we will use this law ⇒ $\frac{a^{m} }{a^{n} } = a^{m-n}$

$\frac{8^{5} }{8^{5} }$

$8^{5-5}$

$8^{0}$

Now we will use this law ⇒ $a^{0} = 1$

$8^{0} = 1$

∴ $8^{3}*8^{2} *\frac{1}{8^{5} } = 1$