Square Properties and Exponential Equations

The video tutorial covers various mathematical concepts, including rewriting expressions with negative exponents, solving equations using exponent rules, calculating square roots to determine side lengths of squares, completing a table of squares with exact values, and estimating square roots by identifying whole numbers closest to a given square root.

What is the result of rewriting 7^-3 as a number with no exponent?

• 49

• 1/343

• 343

• 1/7

If you have 7^5 on top and 7^3 on the bottom of a fraction, what is the simplified result?

• 7^2

• 7^8

• 7^15

• 7^1

What is the value of D if 2^(4D) = 2^12?

• D = 6

• D = 2

• D = 3

• D = 4

If 3 * 7^5 = e^5, what is the value of e?

• 15

• 35

• 21

• 10

What is the value of F if 5^0 * 5^F = 5^4?

• F = 1

• F = 0

• F = 5

• F = 4

What is the side length of a square with an area of 9 cm²?

• 4 cm

• 5 cm

• 3 cm

• 2 cm

If a square has a side length of 5 cm, what is its area?

• 15 cm²

• 20 cm²

• 25 cm²

• 10 cm²

What is the side length of a square with an area of 49 cm²?

• 5 cm

• 6 cm

• 7 cm

• 8 cm

Simplify the square root of 98.

• 5√2

• 9√2

• 7√2

• 6√2

What is the simplified form of the square root of 102?

• √51

• √102

• √204

• √51/2