Question

10 to the power minus 6 into 10 to the power minus 6

Answer 1

Answer:

10^-12

Step-by-step explanation:

answer is 1 because 10^-6x10^-6 is

1/1000000 x 1/1000000

gives answer 10^-12

Answer 2

The value is $\frac{1}{ ({10)}^{12} }$

GIVEN:- 10 to the power minus 6 into 10 to the power minus 6

TO FIND:- the value of the given expression

SOLUTION:-

• In mathematics, an expression or mathematical expression is a finite combination of symbols that is set perfectly according to rules that depend on the context of the algebraic phrase.
• Power implies exponents like a to the power 2 = a²
• Into imply multiplication (×)

According to the question, 10 to the power minus 6 into 10 to the power minus 6

${10}^{ - 6} \times {10}^{ - 6}$

We know that when the base is the same then we add the powers.

$= {10}^{ - 6 + ( - 6)} \\ = {10}^{ - 6 - 6} \\ = {10}^{ - 12}$

As we know,

${a}^{ - n} = \frac{1}{ {a}^{n} }$

Similarly,

$({10})^{ - 12} = \frac{1}{ ({10})^{12} }$

Hence, the value is $\frac{1}{ ({10})^{12} }$

#SPJ2