Question

using laws of exponents solve 1024×216​

Answer 1

Given that,

Two exponents 1024 and 216

To find,

Using laws of exponents solve 1024×216​

Solution,

We know that,

2¹⁰ = 1024 and 6³ = 216

We can write 6³ as (2×3)³

(2×3)³ = 216

using property :

$(x\times y)^n=x^n\times y^n\\\\(2\times 3)^3=2^3+3^3$

So,

$1024\times 216=2^{10}\times 2^3\times 3^3\\\\=2^{10+3}\times 3^3\\\\=2^{13}\times 3^3$ (since, $a^n\times a^m=a^{n+m}$)

So,

$1024\times 216=221184$

Hence, this is the required solution.

Answer 2

Answer:

using law exponents solve 1024×216