Question

find the multiplication inverse of the following 10^-⁸⁹
please tell​

Answer 1

Answer:

(1/10)^-89

Step-by-step explanation:

Given=10^-⁸⁹

let its multiplicative inverse be X

To find- value of X

proof: by the property of multiplicative inverse

we have

no. × multiplicative inverse =1

putting values

10^-⁸⁹ × X =1

X =(1×1)/10^-⁸⁹

X =1/10^-⁸⁹

therefore the multiplicative inverse of 10^-⁸⁹is 10^-⁸⁹

Verification

10^-⁸⁹ × 10^-⁸⁹=1

so we have

(10^-⁸⁹) × 1/ (10^-⁸⁹)=1

above we cancelled 10^-⁸⁹.

1 × 1 =1

1=1

Hence prooved .

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