Question

2⁵ x 2‐⁸ x 2⁶. simplify using laws of exponents and write in exponential form ​

Answer 1

Answer:

2^(5-8+6)

2^3

8

MARK AS BRAINLIEST

Answer 2

Answer:

2³

Step-by-step explanation:

$\huge\sf\blue{Question:} \:$

2⁵ x 2‐⁸ x 2⁶. Simplify using laws of exponents and write in exponential form .

$\huge\sf\blue{Solution:} \:$

$\displaystyle{ \implies \: {2}^{5} \times {2}^{ - 8} \times {2}^{6} }$

As we know that,

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

$\displaystyle{ \implies \: {2}^{5 + ( - 8)} \times {2}^{6} } \:$

$\displaystyle{ \implies \: {2}^{5 - 8} \times {2}^{6} } \:$

$\displaystyle{ \implies \: {2}^{ - 3} \times \: {2}^{6} } \:$

$\displaystyle{ \implies \: {2}^{( - 3) + 6} } \:$

$\displaystyle{ \implies \: {2}^{3} }$

$\displaystyle{ \implies \: 2 \times 2 \times 2 } \:$

$\displaystyle{ \implies \: 8} \:$

As in the question it is asked only in exponential form so answer is 2³.

∴ The answer is 2³.

$\huge\sf\blue{More \: Information :} \:$

$\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}$