Question

3⁴×2³×16
upon
2⁵×81


pls tell this step by step
​

Answer 1

Answer:

3⁴=3×3×3×3=81

2³=2×2×2=8

2⁵=2×2×2×2×2=32

Step-by-step explanation:

81×8×16

32×81

=648×16

32×81

=10368

2592

=4

Answer 2

Answer:

$\frac{ {3}^{4} \times {2}^{3} \times 16 }{ {2}^{5} \times 81}$

Express 16 & 81 in their exponential form

that is

we know

16=2×2×2×2=2⁴

81=3×3×3×=3⁴

therefore

$\frac{ {3}^{4} \times {2}^{3} \times {2}^{4} }{ {2}^{5} \times {3}^{4} } \\ = \frac{ {3}^{4} \times {2}^{3} \times {2}^{4} }{ {3}^{4} \times {2}^{5} }$

using the identity

${a}^{m} \div {a}^{n} = {a}^{m - n}$

and

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

Applying it here

that is

$1 \times \frac{ {2}^{7} }{ {2}^{5} } \\ {2}^{2} = 4$

therefore the correct answer is 4