Question

Can someone please help me with this standard form


`5 * 10 {}^(4 ) * 2 * 10 {}^( - 6)`
can u also show me how to do it step by step please ​

Answer 1

`5 * {10}^(4) * 2 * {10}^( - 6) \\ = 5 * 2 * {10}^(4) * {10}^( - 6) \\ = {10}^(1) * {10}^(4) * {10}^( - 6) \\ \\ \\ using \: fromula \\ {a}^(x) * {a}^(y) * {a}^(z) = {a}^(x + y + z) \\ \\ {10}^(1) * {10}^(4) * {10}^( - 6) \: = {10}^(1 + 4 - 6) = {10}^( - 1) = 1 * {10}^( - 1)`