Question

8³×8⁴÷(2⁵)³
please solve​

Answer 1

Answer: 2 power 6 or 8²

Step-by-step explanation:

8³ × 8power4  ÷ (2power5)³

8³ × 8 power 4 = 8power 7  [ a power m × a power n =a power m+n]

8 power 7 ÷ (2power 5)³

8 power 7 ÷ 2 power 15

8 power 7 converted to (2³)whole power 7 with base as 2

(2³) whole power 7 ÷ 2 power 15

2 power 21 ÷ 2 power 15 [a power m whole power n = a power mn or m×n]

2power 21-15   [a power m ÷a power n = a power m-n]

= 2 power 6 or can be converted with base as 8 and written as 8²

       

Answer 2

From the given question the correct answer is:

Given:

8³×8⁴÷(2⁵)³

To find:

8³×8⁴÷(2⁵)³=?

Solution:

now we will simplify the expression

$=8^{3} \times8^{4} \div (2^{5} )^{3} \\\\=8^{3} \times8^{4} =8^{7} [ a power m \times a power n =a power m+n]\\\\=8^{7} \div(2^{5} )^{2} \\\\\\=8^{7} \div 2^{15} \\\\=8^{7} converted to (2^{3} )^ {2}_{2} \\\\=(2^{3})^{7} \div2^{15} \\\\=2^{21} \div2^{15} [a power m whole power n = a power mn or m \times n]\\\\=2^{21-15} [a power m \div a power n = a power m-n]\\\\=2^{6} or can be converted with base as 8 and written as 8^{2}$

Final Answer:$2^{6} or 8^{2}$