Answer :
Answer:
1/10 ^3
Step-by-step explanation:
Since there is three 1/10, so 1/10^3
To express 1/10 multiplied by itself three times with a single exponent, add the implied exponents of 1 for each occurrence to get[tex](1/10)^3[/tex], which is equivalent to [tex]10^{-3}.[/tex]
To write the expression 1/10 ×1/10×1/10 with a single exponent, we apply the rules of exponents for multiplication. Since all the bases are the same, we simply add the exponents. Since there is no explicit exponent shown, it means the exponent is 1. Therefore:
[tex]1/10 \times 1/10 \times 1/10 = (1/10)^{1+1+1} = (1/10)^{3}[/tex]
But since 10 is on the bottom of a fraction, it means it's a negative exponent when written with 10 as the base of the power. Hence:
[tex](1/10)^{3} = 10^{-3}[/tex]
