We read your photo as:

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

Mathematics

ScanSolve AI Answer

Answers

2 parts
3.1

3.56×10−6\mathbf{3.56 \times 10^{-6}}

3.2

14\mathbf{\frac{1}{4}}

Step-by-step solution

10 steps

Here are the solutions to the problems.

Part 3.1· 3 steps

Write 0.00000356 in scientific notation.

  1. Move the decimal point to the right until there is only one non-zero digit to its left.

    0.00000356→3.560.00000356 \rightarrow 3.56

  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.

  3. Write the number in scientific notation.

    3.56×10−63.56 \times 10^{-6}

    The final answer is 3.56×10−6\boxed{\mathbf{3.56 \times 10^{-6}}}.

Part 3.2

14\mathbf{\frac{1}{4}}

1 Simplify:** 22⋅23⋅845\frac{2^2 \cdot 2^3 \cdot 8}{4^5}

  1. Express all numbers as powers of the same base, which is 2.

    8=238 = 2^3 4=224 = 2^2

  2. Substitute these into the expression.

    22⋅23⋅23(22)5\frac{2^2 \cdot 2^3 \cdot 2^3}{(2^2)^5}

  3. Apply the product rule for exponents (am⋅an=am+na^m \cdot a^n = a^{m+n}) in the numerator.

    22+3+3=282^{2+3+3} = 2^8

  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}

  5. Rewrite the expression with the simplified numerator and denominator.

    28210\frac{2^8}{2^{10}}

  6. Apply the quotient rule for exponents (aman=am−n\frac{a^m}{a^n} = a^{m-n}).

    28−10=2−22^{8-10} = 2^{-2}

  7. Express the result with a positive exponent.

    2−2=122=142^{-2} = \frac{1}{2^2} = \frac{1}{4}

    The final answer is 14\boxed{\mathbf{\frac{1}{4}}}.

Part 3.3

Solve the equation

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

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

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

Got a different question?Ask your own question

More Mathematics Questions

QConvert 0.000437 to scientific notation and calculate (3.2 × 103) + (4.5 × 102). Simplify 18/45 and…QWrite 0.000437 in standard form. Evaluate 3.QWrite the following in standard form: a) 0,032 b) 67000. 2. Simplify the following: a) 2,6×104…QWrite the numbers in expanded form and scientific notation.QHere are the solutions to the next set of problems: 8. Write 0.416 666 667 correct to 3 significant…
Browse by topic:Algebra
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
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