Solving Properties of Exponent Rule

Umar and Abyda are scientists working on a project that often requires them to deal with very large or very small numbers. Which method do they use to simplify their calculations?

• A method of writing very large or very small numbers using exponents in which a number is expressed as the product of a power of 10 and a number that is between 1 and 10

• A method of writing numbers using radicals and square roots

• A method of writing numbers using fractions and decimals

• A method of writing numbers using logarithms and exponential functions

True or False: 

• True 

• False

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

Simplify the expression.

• ²²

• ³⁰

• 6²²

• 6³⁰

Evaluate the expression using the quotient rule.

• 3⁴

• 1/3⁴

• 3^-12

• 3³²

True or False?

• True

• False

True or False?

• True

• False

Simplify using the product rule: x³y²x³=

• x⁶y²

• xy⁸

• x³y⁵

Without a calculator, evaluate:
1^3,412 =

• 3,412

• 3,411

• 0

• 1