What does an exponent indicate in a mathematical expression?

An exponent indicates how many times a number, called the base, is multiplied by itself.

Express the number 1730000000000 in standard form.

1.73 x 10^12

If a number has a negative exponent, how can it be expressed with a positive exponent?

For any non-zero negative integer a, a^-m = 1/a^m, where m is the positive integer.

To compare the numbers 4.56 × 10^8 and 392 × 10^7, what is the first step?

Express both numbers in scientific notation, converting 392 × 10^7 to 3.92 × 10^9.

Fill in the blank: The expression 6^-2 simplifies to ___.

1/36

True or False: The expression a^0 equals 0 for any non-zero number a.

False. The expression a^0 equals 1 for any non-zero number a.

What is the result of multiplying two expressions with the same base according to the law of exponents?

When multiplying two expressions with the same base, you add the exponents.

Riddle: I can make numbers big or small, with me, calculations are a breeze for all. What am I?

Exponents

Simplify the expression 3^4 × 3^2.

3^6 = 729

To express very small numbers in standard form, what type of exponent is used?

Negative exponents are used to express very small numbers in standard form.