Question

How do I work this out​

Answer 1

2.21073919x10^23

Explanation:

Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.

Answer 2

6³⁰

__________________________________________________________

We are given the expression:

`((6^(-4))^(-9))/(6^(6))`

Simplifying the expression

We can multiply the 2 exponents on the numerator to get:

`(6^(36))/(6^(6))`

We can switch the sign of the exponent on the denominator to get it's reciprocal

`{6^(36)}*6^(-6)`

Since the bases are the same, adding the powers

`{6^(36-6)}`

`{6^(30)}`

Hence, the given expression can be simplified to 6³⁰