Question

represent in scientific notation ${0.000001}^{11} \div {0.005}^{3}$

Answer 1

Answer:

$=8 \times 10^{-60}$

Step-by-step explanation:

Scientific Notation:

A x 10ⁿ where A is between 1 to 9

Algebraic Identify:

aⁿ ÷ aˣ = aⁿ⁻ˣ

Write each term in scientific form:

$0.000001^{11} = (1 \times 10^{-6})^{11}$

$0.000001^{11} = 1 \times 10^{-66}$

$0.005^3 = 0.000000125$

$0.005^3 = 1.25 x 10^{-7}$

Evaluate:

${0.000001}^{11} \div {0.005}^{3}$

$= (1 \times 10^{-66}) \div (1.25 \times 10^{-7})$

$=(1 \div 1.25) \times 10^{-66 - (-7)}$

$=0.8 \times 10^{-59}$

$=8 \times 10^{-60}$