1. Write 0,00000356 in scientific notation. 3.2. Simplify. 3.2.1. 22.23.8 / 4.5. 3.3. Solve the equation.

Mathematics
1. Write 0,00000356 in scientific notation. 3.2. Simplify. 3.2.1. 22.23.8 / 4.5. 3.3. Solve the equation.

ScanSolve AI Answer

Here are the solutions to the problems.

3.1 Write 0.00000356 in scientific notation.

Step 1: Move the decimal point to the right until there is only one non-zero digit to its left. 0.000003563.560.00000356 \rightarrow 3.56

Step 2: Count the number of places the decimal point moved. It moved 6 places to the right. Since the decimal point moved to the right, the exponent of 10 will be negative.

Step 3: Write the number in scientific notation. 3.56×1063.56 \times 10^{-6} The final answer is 3.56×106\boxed{3.56 \times 10^{-6}}.

3.2.1 Simplify: 2223845\frac{2^2 \cdot 2^3 \cdot 8}{4^5}

Step 1: Express all numbers as powers of the same base, which is 2. 8=238 = 2^3 4=224 = 2^2

Step 2: Substitute these into the expression. 222323(22)5\frac{2^2 \cdot 2^3 \cdot 2^3}{(2^2)^5}

Step 3: Apply the product rule for exponents (aman=am+na^m \cdot a^n = a^{m+n}) in the numerator. 22+3+3=282^{2+3+3} = 2^8

Step 4: Apply the power rule for exponents ((am)n=amn(a^m)^n = a^{mn}) in the denominator. (22)5=22×5=210(2^2)^5 = 2^{2 \times 5} = 2^{10}

Step 5: Rewrite the expression with the simplified numerator and denominator. 28210\frac{2^8}{2^{10}}

Step 6: Apply the quotient rule for exponents (aman=amn\frac{a^m}{a^n} = a^{m-n}). 2810=222^{8-10} = 2^{-2}

Step 7: Express the result with a positive exponent. 22=122=142^{-2} = \frac{1}{2^2} = \frac{1}{4} The final answer is \boxed{\frac{1{4}}}.

3.3 Solve the equation: The equation to be solved is not visible in the provided image. Please provide the equation.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp