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Teachers & SchoolsACT Math: Pre-Algebra Drill 3, Problem 1. Calculate (0.3)^{4}.

ACT Math | Pre-Algebra |

ACT Mathematics | Pre-Algebra |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Fractions and Decimals | Decimals |

Language | English Language |

Pre-Algebra | Exponents and roots Numbers raised to positive integer powers The concept of exponents |

Product Type | ACT Math |

If we think about it -- and yeah, it may hurt...

...1 times 1 times 1... is always gonna be 1. That's why it's the loneliest number.

And if we multiply a number a bit bigger than 1 again and again and again like an infinite

number of times, our result will... also be infinite.

But if a number is SMALLER than 1 and we multiply it a bunch of times, it'll get closer and

closer to... zero.

In this case, we are multiplying less than a third of 1... so at the end of the day it

should be a really small number because we are multiplying it 4 times.

Just understanding this concept generally, we can get rid of B and D immediately... and

A as well, really.

But if we just brute force the math, we get point 3 times point 3 which is point ZERO

9.

There were TWO units to the right of the decimal -- here and here...

...so we need two units to the right of the decimal in our answer.

Now we multiply by .3 again and we have .027 -- yeah -- THREE numbers to the right of

the decimal.

Do it one last time and we have .0081... FOUR units to the right of the decimal.

So the answer is E.

As in, "Everybody's busy."