Solve 10^(-5): Converting Negative Power to Decimal Form

Question

10−5=? 10^{-5}=?

Video Solution

Solution Steps

00:00 Solve
00:03 According to power laws, any number(A) to the power of(-N)
00:06 equals 1 divided by the number(A) to the power of(N)
00:09 Let's apply in the question, the formula works from number to fraction and vice versa
00:12 We got 1 divided by (10) to the power of (5)
00:15 Let's solve 10 to the power of 5 according to power laws
00:18 Which is actually 10 multiplied by 10, 5 times
00:24 Let's substitute in the question
00:28 *
00:38 And this is the solution to the question

Step-by-Step Solution

First, let's recall the negative exponent rule:

b−n=1bn b^{-n}=\frac{1}{b^n} We'll apply it to the expression we received:

10−5=1105=1100000=0.00001 10^{-5}=\frac{1}{10^5}=\frac{1}{100000}=0.00001 In the final steps, we performed the exponentiation in the numerator and then wrote the answer as a decimal.

Therefore, the correct answer is option A.

Answer

0.00001 0.00001

More Questions

Related Subjects

Negative Exponents Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Exponents - Special Cases

Question Types

Negative Exponents: Calculating powers with negative exponents Negative Exponents: Presenting powers in the denominator as powers with negative exponents Applying Combined Exponents Rules: Presenting powers in the denominator as powers with negative exponents Applying Combined Exponents Rules: Presenting powers with negative exponents as fractions Applying Combined Exponents Rules: Calculating powers with negative exponents Applying Combined Exponents Rules: Monomial Applying Combined Exponents Rules: A power law