Question

please do it fast please ​

Answer 1

Step-by-step explanation:

a)Given that:-

(2²⁰÷2¹⁸)×2²

we know that a^m/a^n=a^(m-n)

=>(2²⁰-¹⁸)×2²

=>2²×2²

we know that a^m×a^n=a^(m+n)

=>2²+²

=>2⁴

=>2×2×2×2

=>16

(2²⁰÷2¹⁸)×2²=16

b)Given that:-

Given number is 3790000

=>379×10000

=>379×10⁴

=>379×100×10⁴/100

=>3.79×100×10⁴

=>3.79×10⁶

3790000=3.79×10⁶

Answer 2

Question

Find the value of a.(2²⁰÷2¹⁸)× 2²

$\:\:\:\:\:\:\:\:$b.write 3790000 in standard form.

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \: a. \dfrac{ {2}^{20} }{ {2}^{18} } \times {2}^{2}$

Concepts

when bases are same then powers gets substracted in division and gets added during multiplication.

$\sf \boxed{\bold{\dfrac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}}}$

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

$\sf \longmapsto {2}^{20 - 18} \times {2}^{2}$

$\sf \longmapsto {2}^{2} \times {2}^{2}$

$\sf \longmapsto4 \times 4 = 16$

b. To write in standard form

step by step explanation

1. Write the first number 3
2. Add a decimal point after it: 3
3. Now count the number of digits after 3. There are 6 digits.
4. So, in standard form:$\bold{\red{3.79×10⁶}}$