Exponents, Powers of Ten, Perfect Squares, and Square Roots Flashcard

An exponent is a number that shows how many times a base is multiplied by itself. For example, in $$2^3$$ , 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times: $$2 x 2 x 2 = 8$$ .

$$5^2$$ represents 5 multiplied by itself, which equals 25.

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because $$4 x 4 = 16$$ .

Squaring a number and taking the square root are inverse operations. Squaring a number means multiplying it by itself, while taking the square root means finding a number that, when squared, gives the original number.

10,000 can be expressed as $$10^4$$ , which means 10 multiplied by itself 4 times: $$10 x 10 x 10 x 10$$ .

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares because they are $$1^2$$ , $$2^2$$ , $$3^2$$ , $$4^2$$ , and $$5^2$$ respectively.

$$4^2$$ equals 16, because $$4 x 4 = 16$$ .

You would write it as $$3^3$$ .

$$10^5$$ equals 100,000, which is 10 multiplied by itself 5 times: $$10 x 10 x 10 x 10 x 10$$ .

This expression represents the Pythagorean theorem, which relates the lengths of the sides of a right triangle.