# SAT Math 2.4 Numbers and Operations

SAT Math 2.4 Numbers and Operations

Language | English Language |

Numbers and Operations | Properties of Integers |

Passport to Advanced Math | Radicals and rational exponents |

Pre-Algebra | Properties of Numbers |

Product Type | SAT Math |

Properties of Numbers | Integers |

SAT Math | Numbers and Operations |

### Transcript

…and we want to know what happens when we take one to the power of the other.

Remember, all it takes is ONE working example each of a positive real number, negative real

number or negative integer to do the trick… Let’s start with A – positive real number.

Is there an instance where this could happen?

Well…sure. Any time a negative number is squared, it becomes positive.

The negative sign in the exponent turns our number into a fraction.

So… if, for example, x was -1 and y was -2…

x to the power of y would become 1 over negative 1 squared. Which is just…1. So A works.

What about a negative real number?

Sure. If x is -1 and y is -3, the fraction we’d convert that to is 1 over -1 to the 3rd.

-1 to the 3rd is still negative one… since it gets reflected across the number line twice…

…and 1 over negative 1 is just negative 1…

…which is both a negative real number AND a negative integer…

…meaning that both B and C work as well.

And if A, B and C are all in the mix…

…then we’re going to have to go with E as our final answer.

We hope this video wasn’t a negative experience for you.

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