Math Problem Statement
G. (2^{1+1}-1)^2\cdot(8-9)=-9
Solution
Let's simplify the given expression step by step:
The expression is:
-
Simplify inside the exponents and parentheses:
- Calculate :
- Substitute back into the expression:
-
Simplify the second part inside the parentheses:
- Calculate :
-
Multiply the results from steps 1 and 2:
- Now, multiply:
Thus,
So, the given equation is correct as stated:
Would you like more details, or do you have any questions?
Here are some related questions you might find interesting:
- How do you simplify more complex exponents within an equation?
- What are the properties of exponents that are useful for simplification?
- How do you solve equations with multiple operations?
- What are some common mistakes to watch out for when simplifying expressions?
- How can you use parentheses to structure calculations correctly?
Tip: Always perform operations inside parentheses first, followed by exponents, multiplication/division, and addition/subtraction (PEMDAS/BODMAS rules).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponentiation
Order of Operations
Formulas
(a^b)^c = a^{b\cdot c}
Order of Operations (PEMDAS/BODMAS)
Theorems
None explicitly, but PEMDAS/BODMAS is the guiding rule for operations
Suitable Grade Level
Grades 6-8
Related Recommendation
Simplify the Expression (-9) - (-8) + 2 × 42(-3)^3 - 2 + 8 ÷ (-8)
Solving -8 - (3 - 8) × 2 Using Order of Operations
Algebra Problem: Simplifying Expressions with Exponents and Negative Numbers
Simplifying and Squaring the Expression ((-9) × (-5) - 9) / (-6)
Simplify the Expression −2(3+8÷4)^2 Using PEMDAS