Represent and use expressions and equations to solve problems involving radicals and integer exponents.

### Lessons for this standard

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### Related standards

- This standard is part of: M08.B-E.1

#### More specific sub-standards

Apply one or more properties of integer exponents to generate equivalent numerical expressions without a calculator (with final answers expressed in exponential form with positive exponents). Properties will be provided.

Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of perfect squares (up to and including 12²) and cube roots of perfect cubes (up to and including 5³) without a calculator.

Estimate very large or very small quantities by using numbers expressed in the form of a single digit times an integer power of 10 and express how many times larger or smaller one number is than another.

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Express answers in scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology (e.g., interpret 4.7EE9 displayed on a calculator as 4.7 × 10 to the 9th power).

#### Similar standards in other grades

Write algebraic expressions from verbal descriptions.

Identify parts of an expression using mathematical terms (e.g., sum, term, product, factor, quotient, coefficient, quantity).

Apply and extend previous understandings of arithmetic to numerical and algebraic expressions.

Identify, write, and evaluate numerical and algebraic expressions.

Write and evaluate numerical expressions involving whole-number exponents.